A DELPHI EXAMINATION OF FUTURE SOVIET STRATEGIC MILITARY OBJECTIVES

Document Type: 
Collection: 
Document Number (FOIA) /ESDN (CREST): 
0005479581
Release Decision: 
RIPPUB
Original Classification: 
U
Document Page Count: 
48
Document Creation Date: 
June 24, 2015
Document Release Date: 
January 15, 2010
Sequence Number: 
Case Number: 
F-2010-00126
Publication Date: 
August 1, 1971
File: 
AttachmentSize
PDF icon DOC_0005479581.pdf3.36 MB
Body: 
DIRECTORATE OF SCIENCE & TECHNOLOGY Scientific and Technical Intelligence Report A Delphi Examination of Future Soviet Strategic Military Objectives CIA DD 1101 USiOY APPROVED FOR RELEASE DATE: OSI-STIR/71-17 August 1971 iECR A DELPHI EXAMINATION OF. , FUTURE SOVIET STRATEGIC MILITARY OBJECTIVES Protect Officer OSI?STIR/71.17 August 1971 CENTRAL INTELLIGENCE AGENCY DIRECTORATE OF SCIENCE AND TECHNOLOGY OFFICE OF SCIENTIFIC INTELLIGENCE smatter-. This report describes and presents the results of a Delphi (question- naire) examination of the of the relevance tree .* The Delphi participants, CIA employees of diverse backgrounds (see appendix C), were as e to assign numerical values representing the priority that they felt the Soviet Union would place on obtaining significant improvement, or upgrading, of the various strategic alternatives in the relevance tree. The time frame of interest is 5 to 15 years in the future. The results of this exercise, conducted from November 1970 to April 1971, form requisite inputs to subsequent studies and analyses concerned with the forecasting of possible. future Soviet weapons and strategic systems. This report was produced by the Office of Scientific Intelligence. It was coordinated within CIA, but the reader is cautioned that its conclusions result from the application of a particular methodology and do not represent co- ordinated CIA opinion on the strategic military objectives of the USSR. "Relevance tree: a structured array of objectives and alternatives, arranged as aggregates of activities, which a decision-maker might consider for future emphasis, improvement, upgrading, and/or investment. A vertical relevance tree starts with objectives and contains a hierarchy of sub-objectives. Q8 EV_11E7nrEM_1rr_ TECHNICAL FOREWORD The of future threat identification involves a blend of inductive and deductive techniques and relies heavily upon the systematic use of experts to make quantitative judgments in specifi- cally defined areas. The general philosophy Fonsists of breaking down a large number of complex evaluations into relatively simple numerical assessments that can be stored, manipulatedi analyzed, and easily re- vised. The methodology is based in part on the PATTERN (Planning Assistance Through Technical Evaluation of Relevance Numbers) sys- tem of relevance network analysis developed by Honeywell, Inc.-I-5 The relevance tree portion is designed to assist in the identifica- tion and evaluation of Soviet military Specific Objectives (working-level tasks that may be performed to satisfy one or more national goals). The general relevance tree, beginning with Soviet national goals and ending with Specific Objectives, is shown schematically in Figure 1.* The original PATTERN technique involved the development of specific criteria for each node, the asignment of weights to each of these criteria, and the assignment of relevance numbers to each alternative vis-a-vis each criterion. An overall weight attached to each alternative at a node is then obtained by forming a linear combination of the relevance numbers. * * Recent theoretical and experimental work indicates the feasibility of a "holistic" approach to the assignment of the overall weights to the nodal elements of the relevance tree. This variant to PATTERN was used in this exercise and required an individual to assign overall nodal *For the purposes of this exercise, the term element will be used to designate any component entry in the relevance tree. The elements of the relevance tree are denoted by the boxes in Figure 1. A node will refer to a collection of elements, consisting specifically of the alternatives and the superior objective that they support. A node is often referred to as a branch point. An alternative at a node is one of the elements which represent means for attaining the objective. The alterna- tives at one level of the relevance tree become the objectives at the next lower level. The alternatives at a node are not necessarily mutu 'y exclusive and exhaustive. "Consider a node having n alternative elements, el, j- 1, 2, , n, and a set of m criteria, CR, k =1, 2, ... , in. Then the nodal relevance number associated with the element el is given by m rr = 7, Wk ro, k=1 where W. is the weight (measure of importance) associated with criterion C%, and rik is the relevance number of the element ej based on a consideration of criterion weights directly, taking into account implicitly the various criteria or application of that combination. It is of interest also to note that the gested before,? 7 but this paper describes what is probably the first real combination of the Delphi and relevance tree techniques has been sug- formal application of the Delphi method, described in Appendix A. The bases for evaluation. Moreover, these weights were arrived at through holistic simplification of PATTERN has been suggested.7 those for the Specific Objectives, from which a priority ranking may be element of interest,4 " In the desired weights are primarily of the tree. The usual prescription is that the branch weights are formed from the product of the nodal wei hts in the levels superior to the branch mathematically to obtain weights associated with the various branches In PATTERN the nodal weights are combined NATIONAL GOALS Figure L General Relevance Tree Structure for the NATIONAL ACTIVITIES SPECTRUM OF CONFLICT MISSIONS TASKS SPECIFIC OBJECTIVES CONTENTS:; Page PREFACE ....... .......... iii TECHNICAL FOREWORD .. v SUMMARY AND CONCLUSIONS ... ....... 1 DISCUSSION OF RESULTS AND RANKINGS ................. 4 Examples of results at nodes ....... ........ . 4 Rankings of tasks and specific objectives .. . ................ 7 Comments on correlations and arms-control ................... 14 REFERENCES ..................... .... ....... ... ..... 41 APPENDICES Page A. Nature of the Exercise ........... . .... ....... 21 The Delphi Technique ....... .. . .... ..... 21 The Premise for Priority Assessment . ......... 22 Criteria or Bases for Evaluation .. . . ..... .. 22 B. The Relevance Tree for Strategic (General) Warfare ........ 24 Definitions of Relevance Tree Elements ... . ............ 25 C. Organization and Conduct of the Delphi Exercise ... . ........ . 33 Assignment of Priority Numbers--Scaling Procedure ........ 33 Non-Numerical Responses and Feedback Materials .......... 34 An Investigation of Sensitivity to Arms-Control ....... . ..... 34 D. Tabulation of Nodal Results ........ .................. 36 PF-10-11S A DELPHI EXAMINATION OF FUTURE SOVIET STRATEGIC MILITARY OBJ 4 CTIVES SUMMARY AND CONCLUSIONS A defined set of future Soviet strategic military objectives has been examined with a combination ? of the Delphi technique for elicitation of expert opinion and the relevance tree method for manipu- lation and aggregation of that opinion. The rele- vance tree, containing the objectives which were evaluated and ranked according to the priority which the Soviet Union might place on obtaining a significant improvement, or upgrading, over the next 5 to 15 years, is shown in Figure 2. The opinions elicited in this exercise place high emphasis on defensive areas, with anti-ballistic mis- sile (ABM), anti-aircraft, and early warning sys- tems generally assigned top priority. Expected So- viet concern about enemy strategic forces as targets was exhibited by the high ranking attached to the counterforce capabilities against submarines, land- based missiles, and strategic aircraft. Anticipated future Soviet interest in the anti-submarine warfare (ASW) problem is also manifest by a high priority on ocean surveillance and naval command, control, and communications. A limited examination of the sensitivity of the results to arms control indicated in the view of the participants an emergence of emphasis on intelli- gence/Warning/Control objectives in the case of a fairly comprehensive restriction on offensive and defensive weapons. Analysis of the data has suggested certain revi- sions or modifications in the methodologies em- ployed to aggregate opinions in the relevance tree network. The results indicate areas of future work on such methods which might be fruitful and per- tinent. RANKINGS AND RELEVANCE NUMBERS Rankings for the Task and Specific Objectives levels of the relevance tree have been obtained using various types of mathematical procedures for manipulation of the data collected in the Delphi process. Considering these variations and the ob- served sensitivities of the rankings with future arms control environments, the following (partial) rank- ordered list of Specific Objectives is a good repre- sentative summary: 411 Active Air Defense/ABM Systems 112 Destruction of Forces/Submarines 331 Strategic Intelligence/Early Warning 412' Active Air Defense/Anti-aircraft . Systems 111 Destruction of Forces/Land-based Missiles 322 Operational Intelligence/Ocean Surveillance 312 Command, Control, Communications/Naval Forces 114 Destruction of Forces/Strategic Aircraft 321 Operational Intelligence/Satellite Surveillance 422 Air Defense/Mobile Basing 423 Air Defense/Deception Techniques 122% Destruction of Resources/Transportation 214: Strategic Mobility/Spacelift 432 Civil Defense/Protective Shelters 431 Civil Defense/Evacuation and Dispersal Only the Specific Objectives near the top and near the bottom have been listed, since interest in the results will tend to focus on the most important items and those which may be safely ignored rela- tive to the others. The top 10 Specific Objectives listed above are in the top 10 in almost every variation investigated, and the bottom five are al- most always on the bottom, with variations gener- ally in exact position or rank in both groups. In selecting a single set of relevance numbers or numerical weights and an associated ranking, it is 111 LAND BASED MISSILES DESTRUCTION 112 SUBMARINE FORCES OF 113 SURFACE NAVAL FORCES FORCES 114 AIRCRAFT 6 CRUISE MISSILES 115 ORBITAL & SPACE WEAPONS STRATEGIC (GENERAL) WARFARE LOGISTICS/ SUPPORT INTELLIGENCE/ WARNING/ CONTROL DESTRUCTION OF RESOURCES 311 AEROSPACE OFFENSIVE CCC 312 NAVAL FORCES CCC 313 SPACE CCC 314 AEROSPACE DEFENSIVE CCC 315 NATIONAL COMMUNICATIONS MISSION LEVEL CONFLICT LEVEL DESTRUCTION OF DEFENSES, CONTROLS, INTELL. STRATEGIC MOBILITY FORCE PROJECTION COMMAND, CONTROL, AND COMMUNICA- TIONS 32 OPERATIONAL INTELLIGENCE STRATEGIC INTELLIGENCE ACTIVE AIR DEFENSE PASSIVE AIR DEFENSE CIVIL DEFENSE 121 CITIES & POPULATION CENTERS 122 CIVILIAN TRANSPORTATION 123 CIVILIAN COMMUNICATIONS 124 IND. & MIL. VALUE TARGETS 131 DEFENSIVE SYSTEMS 132 MILITARY CCC 133 STRATEGIC WARNING & INTELLIGENCE 134 SPECIAL TARGETS 1211 STRATEGIC AIRLIFT 212 STRATEGIC SEALIFT 1 213 STRATEGIC LAND TRANSPORT 214 STRATEGIC SPACELIFT 221 SPACE/ORBITAL BASES 222 SUBSURFACE SEABASES 223 SURFACE SEABASES 224 LANDBASES 321 SATELLITE SURVEILLANCE 322 OCEAN SURVEILLANCE 323 GLOBAL SURVEYS 324 METEOROLOGICAL SURVEYS 331 EARLY WARNING 332 POST-ATTACK ASSESSMENTS 333 LONG-RANGE ESTIMATES 334 FORCE DEPLOYMENTS 1411 ABM SYSTEMS 412 ANTI-AIRCRAFT AND CRUISE MISSILES 1413 ANTI-SATELLITE AND SPACE SYSTEMS 1421 STRATEGIC HARDENING 422 MOBILE BASING 1423 DECEPTION TECHNIQUES 1431 STRATEGIC EVACUATION & DISPERSAL 432 PROTECTIVE SHELTERS 1433 POST-ATTACK MEASURES TASK SPECIFIC OBJECTIVES LEVEL LEVEL Figure 2, Relevance Tree for Strategic (General) Warfare. Complete definitions of the nlomonts are contnmed in nppendi. B. The number to the upper loll of enCh olemnnt will be used ns a form of shorthand to designate the element the nndc number IS dnfrted as the number of the nblerbve element in the node, for example' Node 4 in the node in which Defense, (Element 4) is the objective and the Alter- natives are Active Air Defense (41). Passive Air Defense (42). and Civil Defense (43). 2 SEC-REf probably best to choose the Round 2 product of the non-normalized (nodal) averages in table 7. The ranking for this case, shown in a staggered format which illustrates the broad (mission-level) categories of dominance, is shown below. Although only five of the 16 nodes in the rele- vance tree were examined in Round 3 of the Delphi process under the three hypothetical Arms-Control Specific Objectives Rank Defense Intel]/ Warning/ Control Logistics/ Strike Support 1 .......... 411 2 .......... 3 .......... 412 4 .......... 312 5 331 6 .......... 7 .......... 322 8 .......... 321 9 .......... 314 10 .......... 311 12 .......... 422 13 .... 334 14 .......... 15 315 16 .......... 413 17 .......... 132 18 .......... 113 19 .......... 133 21 .......... 421 22 .......... 313 23 .......... 124 24 .......... 26 .......... 27 .......... 28 .......... 29 ....... .,. 332 30 .......... 324 31 .......... 213 32 .......... 222 33 .......... 34 .......... 35 .......... 30 .......... 423 37 .......... 221 38 .......... 223 39 . 40 . .. .... 433 41 .......... 42 .......... 432 43 .......... 431 Environments, it is believed that the results would not be significantly different if the remaining 11 had been included. Node 0 is probably the domi- nant factor in variation with arms control, with lesser influences from subordinate nodes. The one node examined at the task level, 41, did not exhibit great variations, even though it has ABM as an explicit alternative and ABM was specifically re- stricted in two of the hypothetical environments considered. Much more significant differences are apparently obtained from the manner in which the numerical assignments are manipulated and ag- gregated than from such substantive origins. Two major lessons were leaned in the course of se that impinge on future work with phisPxP 1) it is workable and beneficial to col- lect non-normalized assignments of an abstract quantity such as "priority" via the Delphi technique; 2) important assumptions or potential uncertainties, such as SALT and future arms control environ- ments, should be considered explicitly. It has been found feasible to handle this by explicit definitions and a repeated evaluation of the given question for each assumption. For Delphi studies of the type considered here, two rounds appear sufficient, un- less some significant fact turns up or initially un- known uncertainties appear and require further definition and iteration. FURTHER ANALYTICAL POSSIBILITIES Considering the richness and amount of data that was collected in the Delphi exercise, additional analyses might be performed. From a quantitative point of view, use could be made of various com- binations of nodal assignments and normalization; more elaborate sensitivity analysis might be car- ried out; and, in particular, some effort might be expended in the analysis of the results correlation studies might be attempted to better understand the results obtained in the third round (with the hypothetical Arms-Control Environments) as compared to, say, the second round. Finally, since a democratic procedure was used in the analysis reported here, that is, all results obtained were used and each respondent's assignments were weighted equally, it would be interesting to investi- gate the effects of restrictive selection of the results on each node, for example, by considering only the sub-set of respondents common to all three rounds and/or an attendant weighting of those assignments (e.g., by using the self-ratings, which have thus -Jar only been exploited in the original assignment process) . , From 'a qualitative point of view, much might be done with the wealth of commentary provided by the respondents. in Part B of the Delphi Ques- tionnaires. At this time, the commentary has only been used by the participants themselves in the feedback process. The comments might well be studied more thoroughly and possibly interpreted in non-numerical context. Such a study could be compared with the numerical results to answer such questions as whether the numerical procedures preserve accurately the gist of the opinions ex- pressed non-numerically. Finally, from a strictly methodological point of view, the state of the art in both Delphi and relevance tree technology might be enhanced by a careful examination of the data obtained in this exercise. The non-normalized assignments which were collected at each node may lend themselves to a rigorous treatment of tha question concerning the validity of multiplication between levels of the relevance tree; further experimentation is warranted to ascertain the validity of various corrections to the PATTERN results to counter the bias due to the actual structure of the tree. The qualitative analysis described above might well give some in- sight into Moth of these questions. DISCUSSION OF RESULTS AND RANKINGS A tabulation of the results obtained in the Delphi examination of the 16 nodes in the relevance tree is contained in Appendix D. This tabulation forms the basis for the results and analyses below. The distributions at each node are portrayed by the quartiles, medians, and means. The PATTERN process requires normalized data, and the usual procedure is to normalize the individual assign- ments at each node and then compute the (nor- mali''.ed) average of these.OThese results are shown in the far right-hand column. For compari- son, the (non-normalized) averages have been normalized and tabulated in the second column from the right. It should be noted that there is general agreement between these last two columns. A simple measure of dispersion in assignments is obtained from the so-called Inter-Quartile Range (IQR ), the difference between the upper and lower quartiles (Qn--Q, ). Note that, by definition, the IQR contains the middle 50% of the assign- ments. In the following sections some examples of results at individual nodes are presented, followed by the rankings obtained for the Specific Objectives (and Tasks) by combination of the nodal assign- ments. EXAMPLES OF RESULTS AT NODES Node 0 is probably one of the most interesting and important nodes in the entire relevance tree. As a consequence, this node merits some additional attention and description. The distribution of pri- ority number assignments, in the form of the so- called Delphi houses, is shown in Figure 3. Here, one can observe the reduction in IQR on the second round as compared with Round 1. Also, it appears that the specification of an Arms-Control Environ- ment in Round 3 results in yet further improvement in consensus for most of the elements at this node. The investigation in Round 3 of the Arms-Control sensitivity is described in Appendix C. Expansive definitions wer given for the three hypothetical Arms-Control Environments (ACES) considered. In simplest terms, the three environments are given in the table below. Table 1 Short titles for the three hypothetical Anns- Control Environments (ACEs) investigated in the third round of the Delphi Exercise (see Appendix C) ACE-0 ... Terminntion of negotiations ACI -1 Limited (AI1Nt) ngreenient ACE-2 ...... Full (offensive+defensive) agreement An alternative way of presenting the results at Node 0 is that shown in Figure 4, in which fre- quency histograms for rank of the four elements are given. Such a representation emphasizes the LEGEND Element I Strike Element 2 logistics/Support Element 3 Intelligence/Warning/Control Element 4 Defense Arms-Control Environments (ACE): ACE-0 Termination of Negotiations ACE-1 Limited (ABM) Agreement ACE-2 A Full Agreement 2 i 3 ROUND 3 ACE-O 0 ROUND 3 ACE-1 0 ROUND 3 ACE-2 0 Figure 3, Representation of Nodal Assignments at Node 0. The housee ae a ehatlhand s qy of denobnp the dtatttbutMn of asstQmenfL to which the peel denotes the m.tdian and the wells denote the quartiles to 1.03). ACE-1 Agreement)M ACE-2 (A Full Agreement) 1 2 3 4 Strike LN 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 topistics/ intelli Support Warn n%1 Control 1 2 3 4 Defense Figure 4, Frequency Histograms of Rank of the Elements at N'pde 0 for Round 2 and the Three Arms-Control Environments (ACEs) Considered in Round 3 (ACE Definitions In Appendix M. $11570 7.71 CIA CI CRET relative positions of the elements as indicated by the respondents and conveys a measure of cer- tainty to be associated with the rank of a given element. In this figure, for example, one clearly sees the inferior position accorded to Logistics/ Support (Element 2) in all cases-it was placed in fourth position by some 60% of the respondents on Round 2 and by as high as 79% in Round 3 (assuming ACE-0, termination of SALT negotiations). The emergence and dominance (in the case of a full Arms-Control Environment, ACE-2) of Element 3 (Intelligence/ Warning/ Control) is to be observed and probably more clearly so than was indicated in Figure 3. This Mission was ranked third by nearly half of the respondents in ACE-0, second in ACE-1, but first by an overwhelming 78% of the respondents in ACE-2. The nature of the distributions of normalized assignments are of interest, particularly because the averages of such distributions are generally used in the PATTERN procedure to obtain rank- ings of the elements across an entire level of the relevance tree.2 4 The few nodes with three alter- natives lend themselves to a graphic illustration of such assignments in the form of barycentric, or triangular, coordinates, a technique well-known to physical chemists and metallurgists. This method uses the property of an equilateral triangle that the sum of the distances to the three sides from a point within is a constant. In this representation, a point in the very center of the triangle denotes an equal-weight assignment on all three elements, and a point at a vertex denotes a weight of 1 at- tached to the element cited at that vertex and a 0 to each of the other two elements. Figure 5 illustrates the reduction in dispersion between rounds but with only slight shifts in the mean assignments. Figure 6 shows the distribution of assignments for the same node as shown in Fig- ure 5 for each of the hypothetical Arms-Control Environments. It should be noted that the disper. sion Is slightly greater for ACE-2 than for either ACE-0 or ACE-1, a phenomena which appears to be the general case for the nodes investigated in Round 3. Figure 7 Illustrates a case in which the dispersion was reduced between rounds and in which there was also a noticeable shift in the mean assignments. This figure also reveals an example of a hold-out from Round 1 which ended up quite removed from the consensus position on Round 2. Figure 8 illustrates a rather unusual result in that there was a rather definite lineal distribution formed on the second round. Most of the distributions ob- served in this exercise tended to be circular, or only slightly distorted from such a pattern, as shown in the preceding figures. A very rough estimate was made of the overall reduction in dispersion as the number of rounds increased. On Round 1, the average IQR was about 39, whereas on the second round it dropped to 31. This is similar to the behavior observed by Dalkey in his experiments at Rand, in which the dispersion will be reduced successively between rounds, in the absence of relevant facts, but with no improve- ment in error (as measured by the mean or median estimate).9-10 It is interesting to note that the average IQR on Round 3 was reduced to 29, with a range from 26 on ACE-0 (Termination of negotia- tions) to 32 on ACE-2 (Full agreement). One concludes that there is less of a consensus in the case in which a fairly full offensive and defensive agreement is effected. RANKINGS OF TASKS AND SPECIFIC OBJECTIVES Suppose we let u,?v denote the priority number for the with alternative at the Ath node, regardless of the normalization procedure used. In general, we shall assume a multiplicative rule of combina- tion for the nodal assignments in order to obtain overall weights (relevance numbers) for the Task and Specific Objective levels. Thus, the relevance numbers for the Task ij, ij=11, 12, , .. , 43, are given by raj-"xi . ',ni 1 (1) and the relevance numbers for the Specific Ob- jective ijk, ijk =111, ... , 433, are given by r1Ik 0w, . 'a,t . 't*u~~rtI . '~xu~ . (2) In the PATTERN scheme, the relevance numbers are computed by using the average of the nor- malized assignments at each node (the far right- hand column of data in the tabulation in Ap- pendix D). The relevance numbers and rankings obtained from this data for the Tasks and the Specific Objectives are shown respectively in Table 2 and Table 3. Inspection of Tables 2 and 3 reveals a very interesting and disturbing result, namely that Tasks FRET LEGEND: 31 Command, Control and Communications 32 Operational intelligence 33 Strategic intelligedce 31 32 Figure 5. Barycentric Coordinate Representation of the Normalized Assignments at Node 3, The Tabulation Gives the Mean Assignments for the Entire Set of Data Collected and the Means for the Sub-set of Respondents Common to Round 3 (See Figure 6) SECT LEGEND: 31 Command, Control ACE-0 Termination and Communications of Negotiations 32 Operational ACE-1 Limited Intelligence (ABM) Agreement 33 Strategic ACE-2 Full Agreement Figure 6. Barycentric Coordinate Representation of the Normalized Assignments at Node 3, Round 3, for Each of the ACE's Considered. 811878 7.71 CIA -SEEM- SEGRE; Round 1 (21) .400 .420 .180 (17) .405 .442 .152 0 0 0 0 422 Mobile Rasing 423 Dacaption a 0 0 Round 2 (17) .966 .4R1 2 are Shown Shaded in Round 1. 511570 7.71 CIA Figure 7. Barycentric Coordinate Representation of the Normalized Assignments at Node 42. The Four Responses Missing from Round 421 422 SECRET LEGEND: 431 Strategic Evac A Dispersal 432 Protective Shelters 433 Post-Attack Measures (14) .293 .258 .451 Round 2 (14) .256 .279 %a& 432 Figure 8. Barycentric Coordinate Representation of the Normalized Assignments at Node 43. The Four Respondents Missing in the 11- Table 2 Relevance Numbers and Rankings for the Tasks as Obtained by the PATTERN Procedure 11 0.1188 2 0.1127 2 0.1282 2 0.1335 I 0.09157 6 12 0.0750 8 0.06521 10 0.07632 0 0.06878 10 0.0562 10 13 0.0756 9 0.08606 7 0.08352 6 0.0867 7 0.06022 9 21 0,10512 3 0,1037 3 0,09861 3 0.1037 4 0.1120 3 22 0.07488 10 0.07826 9 0.07439 10 0.07826 8 0.08514 7 31 0.0858 5 0.093515 4 0,08117 7 0.09349 5 0.1077 5 32 0,0832 6 0.08374 8 0.07968 8 0.0929 6 0.112 4 33 0.001 4 0.08772 6 0.08815 4 0.1076 3 0,1393 1 41 0.1682 1 0.1624 1 0.1053 1 0.1274 2 0.1189 2 42 0.0812 7 0.08059 5 0.08468 5 0.07168 9 0.0739 8 43 0.0406 11 0.03699 11 0.04002 11 0.03596 11 0.03322 it *Round 3 :omputations used the nodal assignments from Round 2 for the eleven nodes not investigated explicitly in the third (ACE) round of the Delphi process. 21 and 22 and the Specific Objectives beneath them, particularly 211 and 212, seem to be rated too high. This over-rating is somewhat unexpected, considering the emphasis given to Element 2 at Node 0 (particularly exhibited in Figure 4) and the comments made by the respondents. An obvious source of this over-rating is the relevance tree structure itself: Node 2, in which the Tasks 21 and 22 arc compared, is the only binary node in the tree and it seems reasonable, considering the nature of the PATTERN prescription, to suspect an auto- matic bias in the results. One notes that the Tasks under Element 2 will have a weight in the neighbor- hood of 0.5 whereas those elsewhere automatically have a weight near 0.33. Suppose one were to have assigned equal weights to each element at each node in the tree. This no- choice, no-preference situation would, for the given tree structure, automatically result in a ranking or sorting of the Tasks and Specific Objectives as a result of the non-uniform splitting or branching of the tree. Although not completely correct, one might at least expect that a nearly impartial result would have obtained for the Tasks and Specific Objectives, given impartiality everywhere else. This train of thought leads one to attempt'to correct the results obtained by PATTERN using some sort of comparison of those results with those which would be obtained in the no preference situation. In other words, it might be appropriate to consider rankings based on the magnitude of the ratio of the PAT- TERN relevance numbers to a set of numbers ob- tained by impartial (uniform) assignments at each node.* Although the viewpoint here is slightly dif- ferent, the motivation for, and the results obtained from, this heuristic correction for structural bias are essentially identical to those given elsewhere." The ratios and associated rankings obtained by a modification of the PATTERN results are given in Tables 4 and 5. Some shifts from the previous results are to be observed, particularly the sup- pression of Tasks 21 and 22 and their subordinate Specific Objectives. On the other hand, violence has not been done for the most part to the positions of the other elements. No attempt has been made as yet to justify in detail this modified ranking, an analysis which might well be based, however, on the extensive Delphi-derived commentary of the participants. *For the Tasks and Specific Objectives, these ratios are given respectively by r,r'=r,r/(1/4)(1/n,)-4n,r,r, r,rti'=4n,n,rr,rti= n,rr,r', n, = the number of alternatives at node i, no l =the number of alternatives at node if. 12 Table 3 Relevance Numbers and Rankings for the Specific Objectives as Obtained by the PATTERN Procedure Round I Round 2 Round 3 ACE-0 Round 3 ACFr 1 Round 3 ACE 2 SO Relevance Rank Relevance Rank Relevance Rank Relevance Rank Relevance Rank 111 0.02851 10 2.829471(2 13 3.2179,'-2 0 3.3511(2 7 2.200/(2 18 112 0,03208 7 3.021111''2 8 3.4351(2 6 3.5781(2 4 2.4541(2 17 113 0.0202 23 1.848741'`2 26 2.10212 22 2.1901'`2 22 1.5021;"2 33 2.5779,x'2 17 1.7671(2 29 115 0.01544 34 1.397831'2 34 1.58912 30 1.65612 30 1. 1361(2 38 121 0.01739 27 1.408491``2 32 1.6491(2 28 1.4861''2 33 1.21412 36 122 0.01058 42 8.08579E 3 43 9.46413 43 8.529E-3 43 6.9691'3 43 123 0.01663 31 1.330241`-2 36 1.5555712 31 1.4039-2 34 1.147E-2 37 124 0.031 8 2.973489.x2 9 3.4801(2 5 3.1361(2 11 2.5631' 2 16 131 0.02268 17 2.62495E-2 15 2.5471-2 I'll) 2.6441(2 15 2.1111(2 23 132 0.02419 16 2.556101'2 16 2.4811x'`2 16 2.55751-2 18 2.05612 24 133 0.01814 25 2.168819-2 21 2.10512 21 2.1851(2 23 1.74412 30 134 0.01058 43 1.255655:39,"2 37 1.2191-2 36 1 .2661'2 37 1.01 11(2 40 211 0.02838 11 2.925471-2 10 2.7811'2 11 2,925E-2 12 3.1839.x' 2 10 212 0.03574 4 3.5506411x'2 5 3.3339 -2 7 3.5061`2 5 3.8159.-2 5 213 0.02733 13 2.738741(2 14 2.603E-2 14 2,7399-2 14 2.080F,-2 12 214 0.01367 37 1.203381'2 38 1.1349x'2 39 1 .1931'` 2 38 1.309R-2 35 221 0.01647 32 1 .63556312 30 1 .55559`2 32 1.6361`2 32 1.77912 28 222 0.02172 19 2.410411( 2 18 2.291 F 2 19 2.4101(2 21 2.6221(2 15 223 0.01647 33 1.674701-2 28 1.59212 29 1.6781,'`2 28 1.822E-2 26 224 0.02022 22 2.105191(2 22 2.00112 23 2.10512 24 2.290K-2 19 311 0.01716 28 1.9176712 25 1.66412 27 1.9171'2 26 2.20812 21 312 0.02059 21 2.4602312 17 2.13551(2 20 2.45501(2 19 2.83312 13 313 0.01201 39 1.403171'`2 33 1.2189,''2 37 1.4021(2 35 1 .6161'2 31 314 0.01888 24 1.9:36381(2 24 1.6801'2 26 1.93512 25 2.22912 20 315 0.01716 29 1.637049.' 2 29 1.42112 34 1 .0361'2 31 1 .8851"2 25 321 0.02662 14 2.838791(2 12 2.7011.'`2 13 3. 149K-2 10 3.79712 6 322 0.02746 12 2.889031(2 II 2.749E-2 12 3.20551(2 9 3.86412 4 323 0.01747 26 1.5582691(2 :31 1.5061'2 33 1.75612 27 2.11712 22 324 0.01165 41 1.063501'-2 40 1.0121'2 42 1.1801'2 39 1.4231'2 34 .331 0.03003 9 3.2717712 7 3.2881(2 8 4.0141(2 3 5.19612 1 332 0.01456 36 1.1315212 39 1.13712 38 1.38812 36 1.79712 27 333 0.02093 20 1.082361'2 23 1.99212 24 2.43212 20 3.14812 11 334 0.025548 155 2.385851.x-2 19 2.3891(2 18 2.91612 13 3.7891(2 7 411 0.07905 1 7.48747K" 2 1 7.50512 1 4.94212 I 4.63612 2 412 0.05214 2 5.246101x-2 2 5.20712 2 4.5221(2 2 4.04212 3 413 0.037 3 3.5082312 4 3.81812 4! 3.27312 8 3.21012 9 421 0.03248 6 3.278991'`2 6 3.09912 10 2.6231"2 16 2.7051(2 14 422 0.0341 5 4.309281(2 3 4.07312 3 3.4481(2 6 3.0551'-2 8 423 11.01462 35 1.370731'-2 35 1.2961(2 35 1 .0971`2 40 1. 1311''2 39 431 0.01218 38 9.460951'8 42 1.02512 41 9.2041" 3 42 8.5051`3 42 432 0,01177 40 10320R1.''2 41 1.1171(2 40 1 .0031x"2 41 0.2691(3 41 433 0.01665 30 1,720131(2 27 1.8611(2 25 1.67212 29 1, 0451(2 32 13 Ratios and Modified Rankings Obtained for the Tasks by an Application of Equation 3 Ratio Rank Ratio Rank Ratio Rank Ratio Rank It 1.4313 2 1.358 2 1.544 2 . J.600 l 1.103 5 12 0.0108 7 0.7856 9 13 0.9108 8 1,037 6 1.000 5 1.045 6 0.834 8 21 0.8409 9 0.8200 8 0,7880 9 0,8299 8 0.9029 6 22 0.599 10 0,6261 10 0.5951 10 0.6261 10 0.6811 9 31 1.033 4 1.127 3 0.978 6 1.126 4 1.298 4 32 1.002 5 1.009 7 0,96 7 1.119 5 1.349 3 33 1.096 3 1.057 5 1.0(32 3 1.296 3 1.678 1 41 2.026 1, 057 1 1.992 1 1.535 2 1.432 2 42 0.978 6 1.079 4 1.02 4 0.8636 7 0.8904 7 43 0.489 11 0.4457 11 0.4822 11 0,4332 11 0.4003 11 Suppose we postpone the normalization of the data and apply the multiplicative formulae using the non-normalized averages at each node (Ap- pendix D, column A). The tabulation of the re- sultant products, normalized after multiplication, and the associated rankings for the Tasks and Specific Objectives are given in Tables 6 and 7 respectively. The significance of these results and the. procedure employed to obtain them will be discussed in the following section, in which the various rankings are compared. COMMENTS ON CORRELATIONS AND ARMS-CONTROL Let us consider, as a simple means of com- parison of the various rankings, the rank-difference correlation coefficient, given by * N -6 (X,-YI)' /N(N'--1), (3) i=1 where N is the number of ordered pairs (XI, YI ), and X, and Y, are the rankings of the ith element in the two rankings considered. Perfect agreement is indicated by p = -I-1, while p = --1 indicates exactly opposite rankings. *Dixon, W. J., and F. J. Massey. Introduction to Statis- tical Analysis, New York, McGraw-Hill, 1957, p 294-295. Round 3 ACE?-O ACT,-1 AC1 -2 It is of interest to compare the non-PATTERN rankings introduced in the previous section to the PATTERN rankings and to one another. The cor- relation between PATTERN and its modification varies, depending on the round and the tree level, but typically is of the order of 0.85. The correla- tion between PATTERN and the third approach, the product of the non-normalized averages (PNNA) is worse, typically about 0.70. In the final possibility, we find the correlation between the modified PATTERN (ratio) and the PNNA to be quite high, on the order of 0.92. This final result is very interesting because it means that com- parable results are obtained from the modification of PATTERN to account for tree structure and the perfectly straight-forward results obtained from multiplication of the non-normalized nodal averages. Suppose the modified PATTERN results are cor- rect. Then it appears as if normalization at a node results in a loss of information (reflecting on tree structure) which has to be reintroduced math- ematically. On the other hand, collecting and com- bining non-normalized data with no corrective ac- tion is appealing in its simplicity and very attractive in terms of its correlation with modified PATTERN. Non-normalized nodal assignments obviously con- tain more information content than normalized assignments, and it is possible that accommodation to the tree. structure is part of this content. Using 111 1.71 1 4 1.69769E0 112 1.925 2 1.81267EO 113 1.212 14 1.10924E0 114 1.354 7 1.30539E0 115 0.9266 23 8.38697/c1 121 0.8346 28 6.760771x` 1 122 0.508 39 3.881181" 1 124 1.488 5 1.42727E0 131 1.089 19 1.2599880 132 1.161 16 1.2260380 133 0.8709 26 1.0410380 134 0.508 40 6.03137K 1 211 0.0082 24 9.36150E" 1 212 1.144 17 1. 1220.510 213 0.8746 25 8.76306h," 1 214 0.4373 42 3.850838'1 221 0.5272 36 5 . 2340:3K 222 0.6949 32 7.71331/(1 223 0.5272 37 5.359241: I 224 0.647 33 6.736021,.'- 1 311 1.03 26 1 ,15060/x0 312 1.236 11 1 .4 76141.'0 313 0.7207 30 8.410061.'- 1 314 1.133 18 1.1618:380 315 1.03 21 9.822231' 1 321 1.278 10 1,36262/;0 322 1 , 318 9 1 .38(374 /x0 323 0.8387 27 7.596908`1 324 0.5591 35 5.1048081 331 1,441 6 1.57045K0 332 0.6989 31 5.431328 1 333 1.005 22 9.515331'` 1 334 1,223 13 1.1452180 411 2.846 1 2.605491x0 412 1.877 3 I .888001'0 413 1.332 8 1.20296E0 421 1.169 15 1.1804480 422 1.228 12 1.55134K0 423 0.5262 38 4.934631'-1 431 0.4385 41 3.409108'1 432 0.1239 43 3.715481''1 433 0.5993 34 6, 102478-1 Ratios and Modified Rankings Obtained for the Specific Objectives by an Application of Equation 4 Round 3 ACE-?0 Round 3 ACN-1 Round 3 ACE -2 Ratio Rank Ratio Rank 4 1 .93080 3 2,0111'0 2 1 .379/x70 10 3 2.06:H'0 2 2.14780 I 1.47380 8 20 1 .26110 13 I .3141'0 12 9.01 11(1 26 it 1.184K0 7 1.546K0 6 1,0601x0 18 27 0.5351:1 23 0.934/(1 22 6.81:381 32 30 7,913P:- 1 27 7. 1311'-1 30 5.8271(1 34 40 4.5431.'-1 40 4.0941(1 39 3.345E-1 41 32 7,47:31'-1 28 6.7351,("1 32 5.50381 37 8 1 .67080 5 1 .50680 9 1.2301x0 14 1:3 1 .2231'0 14 1 .2691,0 13 I .013E0 21 1.1 1.191 EO 15 1 .236K0 15 0. 8688 y' 1 22 21 1.(11(1110 11) 1,049R0 21 8.3731(1 20 34 6.8538 1 34 6.0768-1 34 4.8511(1 38 24 8.8()01,' 1 24 9 3618: l 25 I .0181'0 to I 9 I .00 7 K0 18 1. 122EO 20 1 .22180 16 25 8.331/(1 26 8.7641(1 20 9.5:34 K'1 25 ?II :3.6291x 1 43 3.8188-1 41 4.1898'1 39 :37 4.975/(1 37. 5;.2348`1 38 5.6941'1 35 28 7.3:321(1 29 7.7138 1 21) 8.:3911` 1 28 36 5.0941'' 1 36 5.3508(1 37 5.8301' 1 33 31 0.4031(1 33 6.7378' 1 31 7,3291,;- 1 30 17 9, 084 1(1 21 1 , 15080 19 1 .32580 12 7 1 .28180 12 1.4758(1 10 1,700E0 5 20 7.3061i'- 1 30 8.4141,'-1 28 9.6031(l 24 16 1 .0081'0 20 1 . 1611,0 18 . I .338 80 11 22 8.5231' 1 25 9.8171?; 1 23 1 .1:31 E0 17 10 I .29780 I I 1.5i 12E0 8 1 .823E0 3 9 1 .320EO 10 1 .5:38K0 7 1 .855580 2 29 7.22981 31 8, 4281' 1 27 1 .016E0 20 38 1:8571(1 '38 5.0631.''1 36 6.8281'1 31 5 1.5781:0 6 1.92780 3 2.49480 :35 5.4581(1 35 0.6638' 1 33 h.025/( I 27 23 9.56281 22 1 . 16780 17 1 .611 /;0 7 18 1,1471'0 16 1.400EO 11 1.81980 4 1 2.702E0 I 1.77980 4 1.669E0 6 2 1.87510 4 1,62880 5 1.45;580 9 12 1 , 37580 9 1. 17880 16 1 . 155E0 16 15 1.1101'0 I? 9.4441(1 24 0,7371'1 23 6 I .4601'0 8 1, 2411'() 14 1 , 28010 13 311 4,66.18 1 39 3,9.18K' 1 40 4,0711"1 40 43 :1.6888-1 42 3.3141,'1 43 3.0621'"1 43 42 4,0'201'?1 41 :3.6111' 1 42 3.3371.'`1 42 33 6,6991x'"1 32 6,0191' 1 35 5.5611' 1 36 CEGRr,r - 15 Normalized Products and Rankings for the Tasks Using Non-Normalized Averages as the Nodal Assignments ACE. 0 Round 3 - - - - - - - - - - - - - - - AC)& I ACE.-2 Product Rank 11 0.120 2 0.116 2 . 0.142 2 0.120 2 0.071 5 12 0.076 8 0,071 8 0.090 7 0.074 7 0.051 10 13 0.089 6' 0.096 6 0.004 6 0.085) 6 0.062 8 21 0.059 0 0.056 9 0.052 9 0,058 9 0.068 6 22 0.051 10 0.051 10 0.046 10 0.052 10 0.061 9 31 0.112 4 0.115 3 0.103 4 0.127 3 0.155 2 332 0.107 5 0.110 4 0.100 5 0.124 4 0.155 33 0.114 33 0,108 5 0.110 3 0.143 1 0.194 1 41 0. 153 1 0. 1533 1 0.142 1 0.10f) 5 0.091 4 42 0.079 7 0.088 7 0.082 8 0.068 8 0.065 7 43 0,040 II 0.037 11 0,036 11 0.030 11 0,027 11 the PNNA scheme is certainly interesting, if not rigorously supportable at this time. If such a pro- cedure were justified, its use would represent a significant departure from the PATTERN prescrip- tion. It is doubtful that the results will vary signifi- cantly, for the raw data obtained in this exercise, if meaningful statistical quantities other than the average are used at a node. For example, in Round 2, if one selects the normalized medians of the distributions as the characteristic nodal assignments and computes rankings by the PATTERN process, a correlation of about 0.96 obtains between this ranking and that of the PATTERN processing of averages of normalized assignments. As another example, correlations of better than 0.98 are ob- served for rankings obtained from the latter pro- cedure and those derived from PATTERN process- ing of the normalized averages (the figures in Ap- pendix D, column NA). Inspection of the tables of rankings reveals that in a large proportion of the cases, the rank of a Task or Specific Objective on Round 2 agrees or falls within the range of ranks observed in, the three ACE cases. In part, Round 2 tends to correspond with ACE-0 or ACE-1, as might have been ex- pected. Using the rank correlation coefficient and considering, as an example, the modified PATTERN or PNNA results, the correlations (for the Tasks) between Round 2 and ACE-0, 1, and 2, respectively, are about 0.94, 0.90, and 0.72. For the Specific Objectives, the corresponding correlations are about 0.98, 0.96, and 0.85, where the shift to higher values is due to the fact that the Round 2 values were used on the eleven nodes not specifically examined under the three ACE's in order to compute overall rankings. On any given round or ACE, it does not matter for ranking if normalization of the PNNA's is per- formed, although this has been done for the results given in Tables 6 and 7. Normalization is preferred if a single set of numbers is desired for a given round or ACE. On the other hand, normalization may be inappropriate when comparing the magni- tudes of the various numbers used to obtain the rankings of the elements for various ACE's, since this normalization may be destroying information content. Figures 9 and 10 illustrate the behavior of the non-normalized products of the non-nor- malized averages for the Tasks and a portion of the Specific Objectives, as a function of ACE. In both figures, the ordinate is the fraction of the maxi- mum possible value. Since there are three levels in the tree and each element at each node can have a value of 100, the maximum possible score for a Specific Objective PNNA is 108. A better feeling for the behavior of elements in the tree may accrue from inspection of Figures 9 and 10. Normalized Products and Rankings for the Specific Objectives Using Non-Normalized Averages as the Nodal Assignments so 112 113 114 115 121 122 123 124 131 132 133 134 211 212 213 214 221 222 223 224 311 312 313 314 315 321 322 323 324 331 332 333 334 411 412 413 421 422 423 431 432 433 Round 1 Round 2 Round 3 ACH,O Round 3 ACF--1 Round 3 AC.-. Product Rank Product Rank Product Rank Product Rank Product Rank 4.89512 3 4.420/(2 4 2.4461(2 15 4.3791.-2 2 4.321 K-2 2 5.2221:'-2 2 4.7161(2 2 2.6091,``2 12 2,8001(2 15 2.728A-2 18 3.2971,'2 10 2.977/'2 14 1.648P,-2 26 3.2221(2 13 3.1811` 2 11 3.8441(2 6 3.4711`2 10 1.921E-2 20 2.2111.-2 24 2.1031(2 25 2.3421(2 20 2.2951(2 22 1.2701(2 32 1.3151.' 2 31 1 . 1501 2 33 1.4331(2 29 1.1761(2 33 8.0901(3 36 8.87113 39 7.6091(3 39 9.4231(3 36 7.7231(3 38 5.3111(3 40 1.1761(2 34 1.06612 35 1.3201(2 30 1.0821, `2 35 7.4399-3 37 2.2841(2 23 2.2251(2 23 2.7551,'`2 17 2.2.581(2 23 1.5541(2 29 2.5751-2 17 2.9(381(2 14 2.888h-2 15 2,7091(2 16 1.8841.'`2 21 2.5731(2 18. 2.7401(2 17 2.6661(2 18 2.5011'2 18 1.7401.'-2 23 2.1841:2 25 2.555012 19 2.482/'2 22 2.3281'x"2 19 1.8191(2 27 1, 314R_2 32 1.5421,'2 27 1.301 F-2 27 1.408/'2 30 9.7891(3 35 1.4239-2 29 1.4321 2 28 1.291 1(2 31 1, 4301(2 29 1.7121,'2 25 1.6601(2 27 1 , 6861(2 26 1.5191,'2 26 1.6841(2 27 2.01515 2 18 1.3371`2 30 1,346E-2 31 1.213/"2 33 1.34415"2 31 1.609/x'2 28 7.1961,'`3 40 6.033/'3 41 5.4381(3 41 6.0261(3 40 7.2121(3 39 1,025E-2 37 0,9791 3 37 8.9951(3 38 9.9671(3 36 1.1931(2 33 1 . 1831(2 33 1.2711(2 32 1.1461,''2 34 1. 270K-2 32 1.5201(2 30 9.6271(3 38 8.63551(3 38 7.7838-3 39 8,6241(3 37 1.03212 34 1 . 1671(2 35 1 .1121" 2 3.1 1.0021:"2 35 1.1101:2 34 1.3291(2 31 3.4241(2 10 3.3621(2 10 2.9731(2 14 3.6201(2 9 4.4791(2 7 3.9781(2 4 4.2311 2 4 3,7411'2 7 4.5561(2 3 5.637/"2 2 2.3401(2 21 2,4001(2 22 2.1221(2 24 2.5841(2 17 3.1981(2 10 3.6361(2 8 3,409/'`2 9 3.0141(2 13 3.6701(2 8 4.34112 6 3.242E-2 12 2.9171.'' 2 15 2.5801.'2 19 3.141/"2 13 3.8871(2 9 3.4441(2 9 3.6941."2 8 3.3091x'`2 9 4.06412 6 3.14112 5 3.6631(2 7 :3.8471(2 7 3.4471`2 8 4.2331(2 5 5.3551'2 4 2.3801(2 20 2.1141`2 24 1.8941"2 25 2.3261(2 20 2.9431?2 11 1 , 5791(2 28 1.41 18- 2 30 1.2641(2 32 1 .5531." 2 28 1 .9651(2 19 3.8421(2 6 4.0861(2 3 4.1061.'-2 4 5,2801."2 1 7.2601(2 1 1 .903K_2 26 1 .4 281(2 29 1.4351"2 28 1.8461(2 25 2.5381 2 13 2.6661(2 16 2.3071(2 20 2,5191(2 21 3.24012 12 4.455K-2 8 3.3011'"2 11 3.0511"2 13 3,0661(2 12 3.9431(2 7 5.4211(2 3 5.6541'2 1 5.7101(2 1 5.7 75 r 2 1 3.2731` 2 II 2.5371(2 14 4.0101(2 3 4,2525-2 3 4.0411'2 5 2.9661"2 15 2.2421-2 16 3. 18.51'"2 14 2, 0101.`2 16 3,1001"2 11 2.1991`2 24 1.7281`2 24 2.3271(2 22 2.4161'2 21 2.2378-2 23 1.8291"2 26 1.7701'2 22 2.4201-2 19 3.0521?2 12 2.8231."'2 16 2.3101(2 21 2.2351(2 17 1.092/'2 30 9.9891(3 36 9.2481'"3 37 7.5611"3 39 7.3181,'"3 38 4.584 R-3 43 3, 3481`3 ?13 :3.2191"3 43 2,6681(3 43 2.349K-.1 43 5.0431-3 42 4 , 1 181(3 42 3.9591?1 42 3.2821?3 42 2.8901`3 42 6,5651(3 41 7.5321'3 ?10 7,24;31'3 40 6,0031(3 41 5.2871"3 41 For example, one notes from Figure 10 that Ele- is implied by the normalized products in Table 7. ment 331 may not be in as strong a first-place The truth is probably somewhere between the nor- position in ACE-2 as is Element 411 in ACE-0, as malized and non-normalized cases. 18 ACE-0 ACE-1 ACE-2 Figure Q. Non-normalized Products of the Non-Normalized Averages for the Tasks, as a function of Arms-Control Environment (ACE). 611561 7,71 CIA 411\ 312 334 322 321 314 311 333 315 313 323 ACE-0 ACE?1 ACE-2 Figure 10. Non-normalized Products of the Non-normalized Nodal Averages for a Selection of Specific Objectives. For Clarity, Only the Upper 17 and Lowest 3 Specific Objectives are Shown; the Remaining 23 Would Fill the Apparent Gap. 19 APPENDIX A NATURE OF THE EXERCISE Some important background material was pro- vided to the participants in the Delphi Exercise in the instruction booklet prepared specifically for this.^ 4aterial describing the Delphi technique itself is reproduced in this Appendix, along with the discussion provided as the rationale for the selection of priority as a basis for evaluation, and suggested criteria for evaluation. Appendix B con- tains the complete set of definitions for the ele- ments in the relevance tree, also given in the book- let. The material which discussed the scaling procedures for the numerical assignments is given in part of Appendix C. THE DELPHI TECHNIQUE 8-10 13 Delphi is the term given to the process developed at Rand for eliciting and systematically refining the opinions of expert individuals. Because it is based on the intuition and speculation of individ- uals, it appears to be especially useful in problems of forecasting. The main features of the Delphi technique are: Anonymous response Iteration and controlled feedback Statistical group response. Anonymous Response In the Delphi technique, the opinions of the par- ticipants are obtained by formal questionnaire. Debate is replaced by a program of sequential in- terrogations, At no time are the members of the expert group in direct contact with one another. All communication is through a central clearing- house or a project director, The degree and nature of the interactions in the Delphi panel can be con- trolled, whereas a face-to-face group interaction tends to introduce uncontrollable factors. Group in- teractive procedures necessarily require that each person explain, defend, or promote his position with possible attendant grandstanding, prestige- seeking, and a hardening of positions. Groups may also exhibit a band-wagon effect with opinions based on those of the ranking or dominant individ- uals. The advantages derived from the Delphi method are that it requires less time than a con- ference and each respondent works essentially at his own speed and at his convenience. Iteration and Controlled Feedback The interactions in a Delphi exercise are effected by conducting one or more iterations with con- trolled feedback between rounds. The feedback may be in the form of (i) the median and quartiles of the group responses on the preceding round, or (ii) relevant facts, information, or opinion. In each round, the participants are invited to revise their previous opinions and may be asked to provide reasons in support of them. Statistical Group Response The opinion of the group is defined or repre- sented as an appropriate aggregate of the individ- ual opinions obtained on the final round. Typically the median of the individual responses is used. Such a definition of group response admits a spread of opinions without coercive conformity, i.e., it reduces group pressure and insures that every mem- ber is represented in the final response. The above aspects of Delphi help to minimize the biasing effects of dominant individuals, irrele- vant communications, and group pressure toward conformity. Adoption of the Delphi technique is advantageous in view of indications that the pro- cedure leads to an enhanced acceptance of the group response over that obtained through more conventional procedures. 21 e r r An additional feature" of the Delphi work at Rand is the self-rating.? It appears that a meaning- ful estimate of the accuracy of the group response to a given question might be obtained by combining the individual self-ratings of the competence of an individual into a group rating. Expertise and Accuracy On the question of accuracy, a few remarks are in order, based on the Rand experience with Delphi. It has been observed that the accuracy of the Delphi estimates is generally improved as the num- ber of respondents is increased. The accuracy of the estimates sometime decreases, however, as the time allowed for a response increases, Finally, it has been noted in some Delphi experiments that "the most significant parameter in the experiment is likely to be how much the individual members know about the subject matter." K THE PREMISE FOR PRIORITY ASSESSMENT. An illuminating overview of the intelligence prob- lem that the methodology is intended to address has been set down by the late Allen Dulles." His statement forms a kind of manifesto for the development of this methodology: One general range of subjects that receives constant attention and very frequent, regular estimates is the development of what we call military hardware, par- ticularly by the Soviet Union. This means Soviet programs and progress in missiles, nuclear warheads, nuclear sub- marines, advanced type aircraft and anything that might approach a breakthrough in any of the sectors of this field, as well as in the field of space. This is one of the most difficult tasks which face the intelligence estimator. Here one has to deal with Soviet capabilities to pro- duce a given system, the role assigned to the system by the military, and its true priority in the whole military field. It is always difficult to predict how much emphasis is given to any particular system until the research and development stage has been completed, the tests of ef- fectiveness have been carried out, and the factories have been given the order to proceed with actual production. As long as a Soviet system is still in its early stages, our estimates will stress capabilities and probable intentions; as hard facts become available, it is possible to give all actual estimate of programming the system. The phrase "priority in the whole military field" is considered relevant to this exercise, forming a succinct statement of the role of the relevance tree portion of the methodology. It is intended that an evaluation of oviet priority will include not only an evaluation of needs and incentives but also a measure of the likelihood that action would be taken to carry out a program or a development. CRITERIA OR BASES FOR EVALUATION In the holistic approach employed in this exercise, the balloter is not given explicit criteria or bases for an evaluative comparison of the alternatives or elements at a node. The balloter is expected to assign weights to the elements taking into account simultaneously the various possible considerations that might obtain. The procedure does not require an independent evaluation of the alternatives on a criterion-by-criterion basis. The participants in the exercise were reminded, however, of some possible criteria that might be reviewed before assigning weights to the alternatives. One possible general set of criteria that might be used in the tree for Strategic (General) Warfare is: Military considerations Diplomatic considerations Economic constraints Psycho-cultural considerations Here, one simultaneously considers the priorities of the alternatives at a node from the military, diplomatic, economic, and psycho-cultural points of view and assigns an overall priority number to each alternative. It may be assumed that various irrational factors which might be involved in So- viet decision-making, as well as factors dictated by history or tradition, are considered within the psycho-cultural criterion. Alternatively, a collection of criteria might well be cast in the form suggested in a paper on trade-off studies."" Criteria suggested for the trade-off of forces implementing national policies are: Versatility Deterrent capability Expandability National acceptability International acceptability These criteria might be appropriate at about the Mission level of the relevance tree. 22 CI I2ET Yet another suggested set of criteria that may that could be taken into account in the assignment be involved in weapons procurement decisions is: of priority numbers. It was suggested also that Cost-effectiveness and economic impact some attempt be made to factor SALT into the Strategic uncertainties considerations at some of the node, possibly in the Technological obsolescence form of assumed agreements.* . Objectives and policy desiderata The suggested criteria or potential bases for evalu- ation were not required to be applied strictly at every node of interest. They were cited only to remind the balloter of the myriad of considerations This casual approach to the uncertainties concerning SALT and future arms control environments was felt to be quite unsatisfactory, however, and a modification was made on the third round of the Delphi exercise, as described elsewhere (Appendix C). 23 APPENDIX B THE RELEVANCE TREE FOR STRATEGIC (GENERAL) WARFARE The relevance tree is intended to assist in the identification and evaluation of areas of Soviet priority to improve significantly or upgrade an existing capability. Thus, the emphasis is on isolat- ing and defining significantly improved systems or novel weapons concepts that might obtain in a future Soviet strategic force posture. The relevance tree was constructed with a num- ber of subordinate desiderata in mind. First, it was desired that the number of nodes and alternatives at a node be kept reasonably low so as to make implementation tractable and reasonably econom- ical. Second, because of theoretical reasons, it was desired that approximately the same low number of alternatives or branch elements occur at each node on a given level.""" Third, the members of the Specific Objectives level should all be reason- ably compatible with one another in terms of their complexity and content. Fourth, it was hoped that reasonably neutral descriptions and definitions could be employed. Finally, it was desired that as many nodes as possible be constructed such that their evaluations might have some significance and interpretability independent of the overall process. The relevance tree for Strategic (General) War- fare is shown schematically in Figure 2, and the definitions used for its elements are given below. The definition of this element in the Spectrum of Conflict is intended to encompass the strategies referred to in the United States as `assured destruc- tion' and `damage limitation'. This element em- braces weapons of mass destruction which are gen- erally intercontinental in terms of capability. The weapons and countermeasures may have deterrence as their primary purpose and thus may not ever be used. ,24 &CEGRET -&EeRET_ DEFINITIONS OF RELEVANCE TREE ELEMENTS Strategic (General) Warfare - Node 0 Armed conflict between major powers in which the total resources of the belligerents are employed and the national survival of one or more of the belligerents is in jeopardy.' ELEMENT # The destruction, incapacitation, or neutralization 1 of enemy strategic offensive and defensive forces and resources, including strategic missiles, aircraft, naval forces, orbital systems, defensive measures, warning and intelligence functions, transportation, communication, military and industrial value tar- gets, and population centers. Logistics/ The deployment of strategic forces and materiel to 2 Support remote or distant areas for purposes of support for offensive or defensive missions, to perform stra- tegic interdiction of continental areas, to permit "third world" operations, and to obtain such psy- chological and strategic benefits associated with "conspicuous deployment." Intelligence/ The acquisition, processing, analysis, and dissem- 3 Warning/ ination of information (operational or national, Control t .ctical or strategic, basic or topical) concerning the resources, forces, and actions of extant and potential enemies prior to and during general or strategic conflict; warning of attack; and the di- rection and control of the movement and applica- tion of strategic forces and resources. Defense The protection, by active or passive means, of 4 selected point and/or area targets (civilian or military) by destruction, incapacitation, degrada- tion, or neutralization of attacking weapons, ex- clusive of the defensive or protective contribu- tion of the warning, intelligence/reconnaissance, and command/control/communications systems. ' Joint Chiefs of Staff, Dictionary of United States Military Terms for Joint Usage, Washing- ton, D.C., JCS Pub. 1, 1 Jan 66, U. Node 1 The destruction, incapacitation, or neutralization 11 of enemy strategic offensive forces (missiles, stra- tegic bomber aircraft, naval forces, and orbital weapons). The destruction of enemy resources and value 12 targets, including cities and population centers, military and industrial value targets, civilian trans- portation systems, and civilian communication systems. The destruction, incapacitation, or neutralization 13 of enemy strategic defenses, command, control, communications, early warning, and intelligence systems.2 SPECIFIC OBJECTIVES DEFINITIONS ELEMENT # The destruction, incapacitation, or neutralization 111 of land-based strategic missiles. The missiles may be fixed or mobile and may be based in the polar ice caps and possibly the shallow territorial waters. The destruction, incapacitation, or neutralization 112 of enemy strategic weapons located or based be- low the surface of international waters and/or beneath the polar ice caps.2 The destruction, incapacitation, or neutralization 113 of enemy surface naval strategic forces (aircraft carriers, missile launching vessels, and strategic transport vessels)." The destruction, incapacitation, or neutralization 114 of enemy strategic aerodynamic threats, such as manned strategic bombers and cruise missiles. The destruction, neutralization, or incapacitation 115 of enemy strategic threats based on, or consisting of, orbital space platforms or natural bodies in space. ' Systems supporting this task will contribute to a capability to destroy or significantly degrade the enemy's ABM or interceptor aircraft, the early warning and control systems for these defensive measures, as well as the command, control and force management capability for the enemy's offensive weaponry. Systems or programs specifically directed towards key personnel in the chain of command are included under this task also. 'Note that these Specific Objectives do not include the detection, identification and tracking aspects of the ASW or surface naval problem. Only the "kill" capability is considered here. Node 12 SPECIFIC OBJECTIVES DEFINITIONS ELEMENT # The destruction of enemy cities and population 121 centers. The destruction or disruption, either temporarily 122 or for an extended period of time, of enemy trans- portation systems which serve primarily civilian purposes and needs. The destruction or disruption, either temporarily 123 or for an extended period, of enemy communica- tion systems which serve the civilian sector. The destruction of selected military and industrial 124 value targets. The destruction, incapacitation, or neutralization 131 of enemy regional or national defensive forces intended to counter a strategic attack.4 The destruction, incapacitation, or neutralization 132 of enemy command, control, and communication systems specifically intended for strategic military tasks. The destruction, incapacitation, or neutralization 133 of enemy strategic warning and national intelli- gence systems.' The destruction or incapacitation of selected spe- 134 cial targets or personnel critically involved in enemy strategic planning, intelligence, and/or command and control. Systems responsive to this Specific Objective are those whose primary mission is the attack on the defensive systems. Those systems or subsystems which are a part of an offensive weapon system and play a secondary or supportive role to that system are not considered here. Systems responsive to this Specific Objective are those whose primary mission is the destruc. tion of such targets. Subsystems of offensive systems which serve to support that system and to neutralize or degrade enemy warning capability are not included hero. TASKS DEFINrrsONs ELEMENT # The transportation of forces, weapons, or materiel 21 to any point or area on the earth in order to provide support for offensive and defensive measures on a worldwide basis.? The establishment of bases for weapons or per- 22 sonnel in remote locations. (These bases are nominally stationary or relatively slowly ' moving or are not characterized by their mobility per se. These bases are characterized by the relative harshness of the environment and have strategic value because of it.)7 Node 21 SPECIFIC OBJECTIVES DEFINITIONS ELEMENT # The transportation of forces, weapons, or ma- 211 teriel by aircraft or lighter-than-air vehicles in support of strategic offensive and defensive mis- sions." The transportation of forces, weapons, or materiel 212 in or on bodies of water, providing sealift support capabilities for offensive and defensive strategic missions.0 The transportation of forces, weapons, or materiel 213 over land in support of strategic offensive and defensive missions.10 The transportation of forces, weapons, or materiel 214 via space vehicles or platforms.'i ? Systems supporting this task will provide an airlift and sealift capability for long-range air and naval operations, the patrol of large areas, and the supply of remote bases. Mobile land systems of a strategic nature are included under this task. 'Systems or basing facilities supporting this task are manned and unmanned space/orbital platforms, surface and subsurface ocean platforms, and terrestrial bases and installations in conditions of extreme environment such as the arctic or rugged high-altitude regions, "Systems responsive to this Specific Objective include large transport aircraft, tankers, and patrol and reconnaissance aircraft. Large aircraft which may serve as command and control .centers and as support platforms for strategic weapons are also included. ' This Specific Objective covers submarines, surface naval vessels, and "interface" vehicles such as GEMs and SESs. Such systems are intended to provide support for long-range naval operations, patrol and reconnaissance, and resupply and logistic support. '*This Specific Objective represents logistic support, mobile reconnaissance and patrol, and mobile launch platforms for strategic weapons. Of particular interest are those systems capable of maneuvering in hostile environments and those which support long-range penetration into regions contiguous to the Soviet Union. "Includes the development of low-cost reusable boosters and spacecraft and advanced shuttle vehicles. 28 CCC Node 22 SPECIFIC OIIJECTIvEs DEFINITIONS ELEMENT # The deployment and basing of weapons, personnel, 221 or materiel in space or in earth orbit or on natural bodies in space.12 The deployment and basing of weapons, personnel, 222 or materiel beneath the surface of bodies of water.ls The deployment and basing of weapons, personnel, 223 or materiel on the surface of bodies of water.14 The deployment or basing of weapons, personnel, 224 or materiel on land, particularly in an extreme or hostile environment.15 sary for the planning, conduct, and direction of military operations.17 The collection, analysis, evaluation, and dissemi- nation of information, not specifically designated for military missions, for the purpose of estimating and assessing extant and potential enemy capabili- ties and intentions. Such information is intended to provide support to policymakers and provide guidance for long-range national planning.ls The planning, direction, and control of the move- 31 ment and application of strategic forces and re- sources in a conflict environment.16 The acquisition and analysis of information neces- 32 "Systems responsive to this Specific Objective would include reconnaissance platforms, deep space command and/or bombardment platforms, etc. "Systems responsive to this Specific Objective will include manned and unmanned submarine platforms which are relatively fixed in location. "Systems responsive to this Specific Objective are, for example, aircraft and missile carriers or platforms which are slowly moving or fixed in location. " Such bases would be located in arctic or polar regions, mountainous or high-altitude areas, or deserts. " Systems responsive to this task assist in infonnation processing, analysis, and dissemination; decision-making; and force management and force allocation. "Systems supporting this task include those for ASW and naval reconnaissance and surveil- lance; satellite detection and tracking; acquisition of general reference materials and data for planning pertaining to the capabilities, resources, and potential areas of operations. "Systems or programs embraced by this task include those pertaining to the analysis and estimation of foreign capabilities and intentions, future threats, verification of arms limitations, early warning systems, and post-attack assessment. SPECwxc Onjscrxvzs DEFINITIONS EL mNT * The planning, direction, and control of the move- 311 ment and application of Soviet strategic aero- space offensive forces (Strategic Rocket Troops and Long Range Aviation).10 The planning, direction, and control of the move- 312 ment and application of Soviet naval forces. The planning, direction, and control of Soviet 313 space missions. The planning, direction, and control of the Soviet 314 aerospace defensive forces. The transmission of information by a combina- 315 tion of systems incorporated into an integrated and standardized point-to-point network serving the Soviet state, military, industrial, civil, and party telecommunication needs. The detection, identification, and tracking of 321 satellites and orbital platforms, preferably before their first pass over the Soviet Union. (May in- clude, for identification purposes, a close inspec- tion and/or boarding or docking by Soviet ve- hicles.) The detection, identification, and tracking of naval 322 ships and vessels, including submarines and sub- surface platforms, as well as military and civilian surface traffic. The acquisition of global geographic and geodetic 323 surveys and mappings, surveys of terrestrial mag- netism, and oceanographic data pertinent to mili- tary missions. The acquisition, analysis, and utilization of meteor- 324 ological data, including global electromagnetic activity (thunderstorms, solar flares, etc.), for synoptic and tactical weather prediction. "A launch-on-warning capability is included in this Specific Objective. E1 30 SEGER Node 33 SPECIFIC OBJECTIVES DEFINITIONS ELEMENT # The detection and early warning of strategic attack 331 on the Soviet Union.20 The determination of the nature and extent of 332 damage inflicted on the enemy and the damage sustained by the Soviet Union in a strategic ex- change and the generation of information pertinent to subsequent actions, including recovery and the termination of hostilities. The detection and evaluation of long-term threats 333 and the estimation of future enemy intentions and capabilities. The collection and evaluation of information, not 334 designated specifically for military missions, on the current and projected (near-term) strategic force deployment, characteristics, and capabilities of extant and potential enemies.21 attack from an enemy strategic aerospace strike.28 The protection of the population and the entire national wealth from the effects of "weapons of mass destruction" (nuclear, chemical, and bac- teriological weapons ).24 ELEMENT # Direct defensive action taken to destroy or re- 41 duce the effectiveness of attacks by enemy aero- space vehicles or threats, including strategic bal- listic missiles, aircraft and cruise missiles, and orbital weapons.22 Defensive actions, other than active measures and 42 warning systems, taken to reduce the probability of, and minimize the effects of damage by, an "Systems responsive to this Specific Objective may include those for the detection of launch of enemy offensive strategic weapons, a long-range high-capacity system for target acquisition and tracking, and systems for the detection of weapon detonation. " This Specific Objective includes the means for verification of a possible limitation on strategic arms, This task is concerned with the active point and area defense of civilian and military targets by missiles, interceptor aircraft, artillery, electronic countermeasures, etc. "This task is essentially the passive defense of military targets by deceptive techniques, dispersion, mobility, and protective constriction (hardening). " This task is essentially the passive defense of the civilian sector by evacuation, dispersal, protective shelters, and those measures intended to provide rescue and emergency work and to perpetuate the national economy in a wartime environment. 31 32 Node 41 SPECIFIC OBJECTIVES DEFINITIONS ELEMENT .# The active protection of selected point and/or 411 area targets, civilian or military, from an attack by enemy strategic ballistic missiles (ICBMs and SLBMs). The active protection of selected point and/or area 412 targets, civilian or military, from an attack by enemy strategic aircraft and cruise missiles. The active protection of the Soviet Union from 413 an attack by orbital and space-based threats. SPECIFIC OBJECTIVES DEFINITIONS ELENmNr # The protection of selected military installations 421 and strategic forces by protective construction or basing techniques (hardening). The protection of selected military facilities, con- 422 trol centers, or weapons (offensive or defensive) by mobility or the use of mobile basing concepts. The protection of selected military installations 423 and facilities by deceptive techniques (cover, camouflage, concealment, etc.). SPECIFIC OnJECTIVEs DF.FINITUV. S ELEMENT # The dispersal of workers and employees from 431 installations of the national economy and the evacuation of the population from large cities and the more important industrial centers.-''s The sheltering of people collectively in protective 432 structures and the provision of individual means of protection against blast, thermal radiation, and radioactivity. Measures directed toward increasing the ability 433 of important sectors of the economy, all types of transportation, communications and utilities, and industrial power supplies to survive an attack and function in wartime. " The evacuation and dispersal are "strategic," i.e., accomplished in advance of an attack and dependent upon adequate warning of that attack, (Tactical evacuation is the relatively hasty withdrawal immediately prior to or after the launch of an attack.) Dispersal is the organized removal of the population from enterprises of industry, transport, and communication-which do not cease functioning in wartime---from large cities to predetermined areas outside the cities. Evacuation is the transportation of the nonworking population, primarily children, old people, disabled and sick persons, from large cities to predetermined areas. -SECRET- APPENDIX C The Delphi elicitation of nodal priority numbers covered the period Nov 70 - Apr 71. The exercise began with a series of individual briefings to pro- spective participants. At that time, an instruction booklet 12 and some associated descriptive ma- terials describing the background for the exercise were provided to the participant. One nodal ques- tionnaire and an Administrative Questionnaire were also left with the participant. The Administrative Questionnaire contained a self-rating section in which the participant indicated on a simple 1-5 scale his opinion as to his relative expertness on the 16 nodes in the relevance tree. An opportunity was presented for the respondent to indicate a simple preference for a few nodes to be involved with and the respondent was asked to indicate others that he felt might contribute to the exercise. Finally, the Administrative Questionnaire asked the re- spondent for permission to be identified as a par- ticipant in the exercise, with the understanding that specific responses would not be attributed by name and that opinions expressed are personal and professional and need not reflect official Agency views. All participants were assigned a code number for the exercise. Almost all participants in the exercise were assigned five nodes in the relevance tree to con- sider in the exercise. One of these nodes was assigned initially by the Project Director (Nodes 0-4), while the remaining four were allocated on the basis of the Administrative Questionnaires re- turned. Every attempt was made to insure that par- ticipants were contributing in areas in which they felt competent, but at the same time, maintaining a `mix' of backgrounds and Agency components for all of the nodes. Slightly over 100 people were approached for participation. Of these, 99 indicated a willingness to contribute. Agency personnel from all Direc- torates were involved. There was, as expected, some loss of participation over the course of the exercise, amounting to about 24% at its termination. The initial and final distributions of participants is given in the table below. Of the 75 participants who contributed through- out the entire exercise, about 39% were analysts; 36% were supervisory personnel from Branch Chiefs through Division Chiefs; 13% were from staffs such as ONE and NIPE; 12% were Office Directors and Deputy Directors. A few comments might be made concerning the self-rating and the resultant biasing of the sample for expertness. On the scale 1-5, where 5 represents a high assessment of expertness, the overall average group self-rating for all nodes by all participants was about 2.9. In contrast, the overall average self- rating for the participants on the nodes they were involved with was about 3.9, with a high of 4.5 on Node 41 to a low of 3.1 on Node 2. On Node 0, which was assigned without the benefit of the. Administrative Questionnaire, the average group self-rata,+g was 3.7. Assignment of Priority Numbers-Scaling Procedure The participants in the exercise were called upon to supply two types of information or expressions of opinion: numerical assignments of priority and comments or statements supporting these assign- ments. The Delphi Questionnaires consisted of two basic parts. Part A was concerned with the nu- merical assessment of priority. The Specific Ob- jectives level in the relevance tree is to have a set of weights (relevance numbers) associated with it and these weights should in some sense reflect the degrees to which upgrading the individual Spe- cific Objectives would enhance higher-level Soviet goals. To this end, priority was selected as the key concept in the evaluation of the elements in the relevance tree. Time was not handled explicitly in the assessments, i.e., there was no attempt to break the basic 5-15 year period into segments. A typical Part A questionnaire was of the form indicated below: To meet national goals and objectives over the next 5 to 15 year period, the Soviet Union may seek to improve significantly or upgrade their capabilities in (title of node). What is the relative priority that you feel the Soviets would place on obtaining significant improve- ment or upgrading in each of the elements supporting this objective? (Assign a priority number to each of the elements below, using a scale 0-100, where 0=no priority, 100=top priority.) Element # ...... (Title) .............. Element # ...... (Title) ............. . Element # ...... (Title) .............. A rather unusual 0-100 scale was used for the numerical assignments of priority in this exercise. A value of 100 was intended to denote the feeling that a top priority is given by the Soviets for ob- taining a truly significant improvement in capability. A value of 0 was intended as a reflection of no priority, however, it was not to be interpreted as meaning that no effort would be expended in that area. An clement rated 0 may well have improve- ments, but the 0 indicates that the Soviets do not attach a real priority to their realization. Inter- mediate levels of priority are reflected by numbers between 0 and 100. The scale and its associated definitions are intended to reflect emphasis on improvement and not simply a resource allocation. A respondent could reflect relative priority between alternatives at a node as well as an overall priority, since he was not required to assign a 100. Alterna- tive approaches which were rejected were the normalized, or 'split-100', method in which the sum of the assignments at a node is fixed, and the method in which a fixed amount is assigned to the highest alternative at the node (the so-called '100- top' method). The normalized approach was felt to be too restrictive and might tend to lead to conservative assignments. More information is con- veyed by the selected procedure than by either the 'split-100' or '100-top' methods. The procedure selected is interestingly similar to the '100-top' method, for which recent work by Dalkey tends to support as preferable over the 'split-100' in Delphi examinations of relative value." Non-Numerical Responses and Feedback Materials Part B of the Delphi Questionnaires was involved with the elicitation of comments concerning the priorities, i.e., the respondent was asked to indicate what he had in mind when he made the assign- ments. These brief supporting statements provide an outlet for qualification of the numerical assign- ments and enabled respondents to indicate trends that are not apparent from the simple numeric values. The most important application of the com- ments made in Part B of the questionnaires was in the feedback material provided to the respondents after each round. In addition to some statistical information which described the pre- vious round's results (median and inter-quartile range), the feedback material contained a com- pilation of the comments made by the respondents. This material amounted to some 2-9 pages of ver- batim text or quotations arranged in appropriate groups and identified for communication purposes by the participant's ID number. The comments were edited slightly and sometimes paraphrased, but were, for the most part, complete comments provided by the respondents. There was no attempt made to synthesize groups of comments or to ab- stract individual or collected comments. The feed- back material was classified and restricted to the Secret level, An Investigation of Sensitivity to Arms-Control Two complete rounds of a Delphi process were carried out on all sixteen nodes in the relevance tree. The results obtained from Round 2 (described in detail elsewhere) indicated that it would not be particularly advantageous to pursue addi- tional rounds. A review of the results and com- 341: ments indicated, however, that it would be quite desirable to carry out a third round with some modification in the basic questionnaire on a few selected nodes to determine their sensitivity to arms-control. It was quite evident that some of the dispersion in the assignments was due to uncer- tainties about future arms-control environments. In order to assess the extent of the dispersion due to the mixture of assumptions concerning SALT and future arms-control environments and to esti- mate the sensitivity of the results to these con- tingencies, five nodes (0, 1, 3, 4, 41) were selected for further investigation by asking for priority numbers for the elements at these nodes under three given hypothetical arms-control environments or scenarios. The basis for selection was partly the frequency with which SALT or arms-control assumptions were cited in Part B of the Delphi Questionnaires for the first and second rounds. The three hypothetical Arms-Control Environ- ments (ACE's) considered are described below. These definitions were derived from open literature sources 10'21 and are purely hypothetical, with an eye for extremes. They were not intended to be entirely realistic or even achievable and it was suggested to the participants that they attempt to assign priority numbers assuming the existence of a given ACE and to avoid arguing the viability or likelihood of that ACE. For the partial Round 3, the numerical por- tion (Part A) of the Delphi Questionnaires was of the following revised form: To meet national goals and objectives over the next 5 to 15 year period, the Soviet Union may seek to improve significantly or upgrade their capabilities in (title of node). For each of the hypothetical Arms- Control Environments, what is the relative priority that you feel the Soviets would place on obtaining signi- ficant improvement or upgrading in each of the ele- ments supporting this objective. (Assign a priority number to each on a 0-100 scale, where O= no priority, 100=top priority,) Element # .... (Title) ...... Element # .... (Title) ...... Hypothetical Arms-Control Environments ACE 0 Negotiations between the US and the SU are terminated within the next year with little likeli- hood of a resumption of SALT in the near future, Assume, however, that treaties and agree- ments already in effect (or nearly so) remain in force (i.e., the 1963 Nuclear Test Ban; the banning of bombs in orbit; the agreement to maintain Latin America as a nuclear weapons- free zone; the 1968 Nuclear Non-Proliferation Treaty; and the treaty banning weapons on the seabed). ACE 1 A limited arms-control agreement is arrived at within the next year. Assume an agreement which restricts deployment of ABM's to the National Command Authority (NCA) of the SU and the US (i.e., Moscow and Washington). Assume that talks continue for the purpose of negotiating additional agreements. ACE 2 A relatively full arms-control agreement is ar- rived at within the next year or so. Assume an agreement in which: ABM deployments are restricted to the NCA; offensive strategic weap- ons are frozen at then-current levels and types (missiles and aircraft) with a ban on the con- struction of new launchers and a restriction on any changes in deployed systems to those that do not change their external characteristics; MIRV warhead flight testing, production, and deployment is banned and the US removes such warheads already deployed on their Minuteman and Poseidon missiles. Assume that talks continue toward possible additional agreements. The revised questionnaires contained an array, rather than a single column as in the first two rounds, to be filled with priority numbers. As before, normalization was not required. The respondents were reminded of the importance of obtaining ap- propriate relative assignments within a column but that consistency across a row was desirable and secondary in importance. APPENDIX D TABULATION OF NODAL RESULTS The following table contains a compilation, by node, of the priority numbers elicited in the exercise. The table presents the results for the two complete rounds for all nodes and the results of the third round for the five nodes examined under the hypothetical Arms-Control Environments. The number in parentheses at the left is the number of respondents for the given node-round. Reading across from the left, the columns contain the following quantities: the element ID number; the first or lower quartile (Q,); the median (M) ; the third or upper quartile (Q j); the average (mean) of the responses (A); the normalized average (NA) ; and the average of the set of normalized responses (ANR). 93 M Q. A NA ANR Rnd 1 (49) 1 50 75 90 69,3 .270 .270 2 25 50 65 47.8 .186 .180 3 50 65 80 66.2 .257 .260 4 50 80 95 73.8 .287 .290 Rnd 2 (44) 1 50 75 80 67.3 .266 .264 2 25 50 65 46.9 .186 ,182 3 50 70 80 65.3 .258 .265 4 60 80 90 73.2 .290 .289 Rnd 3 (30) 1 60 85 100 79.2 .285 .288 ACE-0 2 30 50 65 49.2 .177 .173 3 60 70 80 69.8 .251 .249 4 70 80 90 80.0 .287 .290 Rnd 3 (30) 1 50 70 100 72.8 .282 .289 ACE-1 2 30 50 (30 48.2 .187 .182 3 65 75 90 75.8 .293 .294 4 50 60 75 61.5 .238 .235 Rnd 3 (30) 1 30 35 70 48.5 .216 .217 ACE-2 2 25 40 50 45.8 .204 .198 3 60 90 100 78.8 .351 .359 4 40 50 70 51.3 .229 .226 NODE 1 Rnd 1 (33) 11 55 80 90 71.9 .422 .440 12 40 50 75 45.2 .266 .280 13 30 50 80 53.1 .312 .280 Rnd 2 (30) 11 60 75 90 70.7 ,409 .427 12 25 50 60 43.6 .252 .247 13 35 60 75 58.5 .339 ,326 Rnd 3 (19) 11 75 85 100 84.5 .435 .445 ACE-0 12 40 50 70 53.4 .275 .265 13 50 50 70 56.3 .290 .290 Rnd 3 (19) 11 60 75 90 73.4 .441 .462 ACE-1 12 30 40 50 42.1 .253 .238 13 30 50 70 50.8 .306 .300 End 3 (19) 11 40 50 50 48.4 .387 .422 ACE-2 12 20 30 50 34.5 .276 .259 13 25 40 50 42.1 .337 .319 36 ECRET Ql M Q: A NA ANR Rnd 1 (21) 21 40 50 60 51.2 .536 .584 22 20 45 80 44.3 .464 .416 Rnd 2 (16) 21 35 50 55 49.4 .527 .570 22 20 45 70 44.4 .473 .430 Rnd 1 (28) 31 50 80 90 70.2 .337 .330 32 50 70 80 66.4 .319 .320 33 50 75 90 71.8 .344 .350 Rnd 2 (23) 31 60 75 75 72.4 .345 .353 32 50 70 75 69.3 .330 .316 33 50 70 80 68.0 .325 .331 Rnd 3 (17) 311... 60 80 80 69.7 .329 .326 ACE-0 32 60 70 80 67.6 .319 .320 33 65 70 90 74.4 .352 .354 Rnd 3 (17) 31 60 70 80 69.1 .322 .318 ACE-1 32 60 70 80 67.6 .315 .316 33 70 80 90 77.9 .363 .366 Rnd 3 (17) 31 45 70 85 65.3 .307 .300 ACE-2 32 45 75 80 65.3 .307 .312 33 80 90 95 81.8 .386 .388 Rnd 1 (29) 41 80 100 100 85.9 .560 .580 42 30 50 65 44.7 .291 .280 43 10 20 30 22.9 .149 .140 Rnd 2 (^7) 41 80 100 100 85.9 .550 .562 42 40 50 60 49.3 .316 .310 43 10 20 25 20.9 .134 .128 Rnd 3 (14) 41 85 90 100 85.7 .551 .570 ACE-0 42 25 50 65 48.6 .312 .292 13 10 20 25 21.4 .137 .138 Rnd 3 (14) 41 50 75 90 71.1 .518 .542 ACE-1 42 25 45 60 45.7 .333 .305 43 10 20 25 20.4 .149 .153 Rnd 3 (14) 41 40 50 75 58.9 .499 .526 ACE-2 42 20 45 60 42.1 .356 .327 43 5 15 25 17.1 .145 .147 Rnd 1 (25) 111 55 80 90 71.6 .235 .240 112 70 85 100 81.0 .266 .270 113 30 50 80 51.8 .170 .170 114 40 70 80 59.6 .195 .190 115 20 45 60 40,9 .134 .130 Rnd 2 (23) 111 80 90 90 77.8 .247 .251 112 75 90 95 83.0 .264 .268 113 40 50 70 52.4 .167 .164 114 50 70 75 61,1 .194 .193 115 20 40 60 40.4 .128 .124 Rnd 1 (23) 121 03 50 470 38.7 .232 .230 122 10 20 50 26.1 .157 .140 123 10 25 50 34.6 .208 .220 124 50 75 90 67.2 .403 .410 Rnd 2 (21) 121 10 35 50 36.1 .223 .216 122 10 15 35 23.7 .146 .124 123 10 25 50 33,2 .204 .204 124 50 75 85 69.3 .427 .456 Rnd 1 (19) 131 30 60 100 64.5 .298 .300 132 40 70 90 64.5 .298 .320 133 25 70 80 54.7 .253 .240 134 10 20 50 32.9 .152 .140 Rnd 2 (18) 131 40 75 100 68.9 .303 .305 132 50 65 80 63.6 .280 .297 133 25 65 80 59.2 .260 .252 134 10 40 50 35.8 .157 .146 Rnd 1 (14) 211 40 55 70 53.6 .276 .270 212 50 60 75 62.5 .322 .340 213 25 55 60 5 1.1 .263 .260 214 5 15 50 27.1 .139 .130 Rnd 2 (13) 211 50 60 70 56.5 .282 .282 212 50 60 80 60.5 .333 .338 213 35 60 65 53.1 .266 .264 214 10 10 40 23.8 .119 .116 Rnd 1 (13) 221 10 25 75 44.6 .236 .220 222 45 50 70 51.5 .273 .290 223 25 30 75 41.9 .222 .220 224 40 60 75 50.8 .269 .270 Rnd 2 (12) 221 10 45 75 43.8 .234 .209 222 40 55 70 55.8 .300 .308 223 20 30 50 37.9 .203 .214 224 35 50 70 48.8 .263 .269 Rnd 1 (14) 311 40 80 85 67.9 .206 .200 312 70 90 100 78.9 .239 .240 313 30 35 70 46.4 .141 .140 314 70 75 90 72.1 .219 .220 315 50 70 80 64.3 .195 .200 End 2 (11) 311 50 80 85 65.0 .206 .205 312 70 90 95 81.8 .259 .263 313 30 40 65 46.4 .147 .150 314 60 80 80 65.9 .209 .207 315 45 60 75 56.4 .179 .175 Rnd 1 (16) 321 Ql 60 M 80 Q, 85 A 72.2 NA .311 ANR .320 322 75 75 100 76.8 .331 .330 323 25 55 65 50.0 .215 .210 324 20 30 40 33.1 .143 .140 Rnd 2 (13) 321 70 80 80 74.6 .333 .339 322 70 80 90 77.7 .348 .345 323 30 50 60 42.7 .191 .189 324 20 30 30 28.5 .128 .127 Rnd 1 (21) 331 50 90 100 74.5 .328 .330 332 10 30 55 36.9 .162 .160 333 20 50 80 51.7 .228 .230 334 50 75 80 64.0 .282 .280 Rnd 2 (16) 331 75 90 100 84.1 .369 .373 332 15 25 45 29.4 .129 .129 333 20 45 80 51.6 .226 .226 334 50 80 80 62.8 .276 .272 Rnd 1 (26) 411 60 90 100 82.2 .440 .470 412 30 70 80 58.3 .312 .310 413 20 40 70 46.3 .248 .220 Rnd 2 (22) 411 70 90 95 83.0 .444 .461 412 40 70 80 61.8 .330 .323 413 20 40 65 42.3 .226 .216 Rnd 3 (13) 411 80 90 100 89.6 .447 .454 ACE-0 412 50 75 80 62.7 .313 .315 413 25 45 70 48.1 .240 .231 Rnd 3 (13) 411 55 75 90 70.4 .388 .388 ACE-1 412 50 65 80 63.8 .352 .355 413 30 45 70 47.3 .260 .257 Rnd 3 (13) 411 45 60 85 62.7 .390 .390 ACE-2 412 35 55 80 55.4 .345 .340 413 20 50 60 42.7 .265 .270 Rnd 1 (21) 421 50 60 80 65.0 .398 .400 422 35 80 90 67.6 .415 .420 423 10 30 45 30.5 .187 .180 Rnd 2 (17) 421 50 60 80 61.2 .374 .366 422 70 80 90 77.3 .472 .481 423 15 30 30 25.3 .154 .153 NODE 43 Rnd 1 (18) 431 10 20 40 25.0 .283 .300 432 15 20 30 27.5 .311 .290 433 10 30 60 35.8 .406 .410 Rnd 2 (14) 431 10 20 25 20.0 .223 .256 432 10 20 30 24.6 .274 .279 433 10 35 80 45.0 .503 .465 SGT 39 REFERENCES 3. Beller, William S. "Technique Ranks Space Objectives," Missiles and Rockets, 7 Feb 66, p 22-24, U 4. Jantsch, E. Technological Forecasting in Perspective, Paris, OECD, 1967, p 219-233, U 5. Fisher, M. "Toward a Mathematical Theory of Rele- vance Trees," Technological Forecasting, v 1, 1970, p 381- 389, U 6. Beckerhoff, D. "Goal Systems for Governmental R&D Planning," Technological Forecasting, v 1, 1970, p 363-369, U 7. Nozicka, G., et al. "Technological Forecasting and Simulation for Program Selection (TEFORS)," Volume II, User's Guide, Control Data Corporation, AFATL-TR-70-20, Feb 70, p 40-44, U 8. Dalkey, N. C. The Delphi Method: An Experimental Study of Group Opinion, The Rand Corp., RM-5888-PR, Jun 69, U 9. Dalkey, N. C., et al. The Delphi Method III. Use of Self-Ratings to Improve Group Estimates, The Rand Corp., RM-6115-PR, Nov 69, U 10. Dalkey, N. C., and Rourke, D. L. Experimental Assess- ment of Delphi Procedures with Group Value Judgments, The Rand Corp., R-612-ARPA, Feb 71, U 13. The Rand Corp. A Bibliography of Selected Rand Publications: Delphi, SB-1019, Jan 71, U 14. Dulles, Allen. The Craft of Intelligence, New York, The New American Library, 1965, p 150-151, U 15. Wegner, L. H., et al. "The Trade-Off Study Re- visited," Chapter 21, Systems Analysis and Policy Planning: Applications in Defense, E. S. Quade and W. I. Boucher (eds.), New York, American Elsevier Publishing Co., 1968, 16. Miller, George A. "The Magical Number Seven, Plus or Minus Two," Psychological Review, v 63, 1956, p 81, U 17. Moore, John R., et al. "An Analytical Approach to Scoring Model Design-Application to Research and De- velopment Project Selection," IEEE Transactions on Engi- neering Management, v EM-16, Aug 69, p 95, U 18. Tversky, A. "On the Optimal Number of Alternatives at a Choice Point," J. Math. Psychology, v 1, 1964, p 386- 391, U 19. Rathjens, C. W. and Kistiakowsky, C. B. "The Limita- tion of Strategic Arms," Scientific American, v 222, Jan 70, p 19-29, U 20. Scoville, H. "The Limitation of Offensive Weapons," Scientific American, v 224, Jan 71, p 15-25, U 21. "Science and the Citizen," Scientific American, v 224, Mar 71, p 44, U 41