Traditional methods of analysis do not provide the researcher with means for selecting the “best” among several alternatives while having control over the probability of being correct. The authors present the indifference zone approach and the subset-selection approach to selection problems. The findings of several recent studies are used as illustrative examples.
Get full access to this article
View all access options for this article.
References
1.
BechhoferR. E. (1954), “A Single-Sample Multiple Decision Procedure for Ranking Means of Normal Populations with Known Variances,”Annals of Mathematical Statistics, 25 (March), 16–39.
2.
BechhoferR. E., DunnettC. W., and SobelM. (1954), “A Two-Sample Multiple Decision Procedure for Ranking Means of Normal Populations With a Common Unknown Variance,”Biometrika, 41 (June), 170–6.
3.
BeckerW. A. (1961), “Comparing Entries in Random Sample Tests,”Poultry Science, 40 (November), 1507–14.
4.
BeckerW. A. (1962), “Ranking All-or-None Traits in Random Sample Tests,”Poultry Science, 41 (September), 1437–8.
5.
BeckerW. A., (1964), “Changes in Performance of Entries in Random Sample Tests,”Poultry Science, 43 (May), 716–22.
6.
CaponNoel and FarleyJohn U. (1976), “The Impact of Message on Direct Mail Responses,”Journal of Advertising Research, 16 (October), 69–75.
7.
ChewVictor (1977), Comparisons Among Treatment Means in an Analysis of Variance. Washington, D.C.: U.S. Government Printing Office, 228–258.
8.
DalaiS. R. and SrinivasanV. (1977), “Determining Sample Size for Pretesting Comparative Effectiveness of Advertising Copies,”Management Science, 23 (August), 1284–94.
9.
GibbonsJean Dickinson, OlkinIngram, and SobelMilton (1977), Selecting and Ordering Populations: A New Statistical Methodology. New York: John Wiley & Sons, Inc.
10.
GirshickM. A. (1946), “Contributions to Sequential Analysis: I,”Annals of Mathematical Statistics, 17 (June), 123–43.
11.
GoldsteinLarry and FriedmanHershey H. (1975), “A Case for Double Postcards in Surveys,”Journal of Advertising Research, 15 (April), 43–7.
12.
GoodstadtMichael S., ChungLinda, ReenaKronitz, and GaynollCook (1977), “Mail Survey Response Rates: Their Manipulation and Impact,”Journal of Marketing Research, 14 (August), 391–5.
13.
GouletWaldemar M. (1977) “Efficacy of a Third Request Letter in Mail Surveys of Professionals,”Journal of Marketing Research, 14 (February), 112–14.
14.
GuptaS. S. (1956), “On a Decision Rule for a Problem in Ranking Means,” unpublished Ph.D. thesis, Institute of Statistics, Mimeo Series No. 150, University of North Carolina.
15.
HansenRobert A. (1980), “A Self-Perception Interpretation of the Effect of Monetary and Nonmonetary Incentives on Mail Survey Respondent Behavior,”Journal of Marketing Research, 17 (February), 77–83.
16.
KleijnenJ. P. C. (1975), Statistical Techniques in Simulation, Part II. New York: Marcel Dekker, Inc.
17.
KleijnenJ. P. C., NaylorT. H., and SeaksT. G. (1972), “The Use of Multiple Ranking Procedures to Analyze Simulations of Management Systems: A Tutorial,”Management Science, Applications Series, 18 (February), B245–57.
18.
LipsteinBenjamin (1975), “In Defense of Small Samples,”Journal of Advertising Research, 15 (February), 33–40.
19.
MamrakSandra A. and AmerP. D. (1979), Computer Science & Technology: A Methodology for the Selection of Interactive Computer Services. Washington, D.C.: U.S. Government Printing Office, National Bureau of Standards Special Publication 500–44.
20.
NaylorT. H. (1971), Computer Simulation Experiments with Models of Economic Systems. New York: John Wiley & Sons, Inc.
21.
NaylorT. H., WertzK., and WonnacottT. H. (1967), “Methods for Analyzing Data from Computer Simulations,”Communications of the ACM, 10 (November), 703–10.
22.
NaylorT. H., WertzK., and WonnacottT. H. (1968), “Some Methods for Evaluating the Effects of Economic Policies Using Simulation Experiments,”Review of the International Statistical Institute, 36, 184–200.
23.
OrpenChristopher (1975), “Reaction to Black and White Models,”Journal of Advertising Research, 15 (October), 75–9.
24.
RobertsonDan H. and BellengerDanny N. (1978), “A New Method of Increasing Mail Survey Responses: Contributions to Charity,”Journal of Marketing Research, 15 (November), 623–33.
25.
SchmidtJ. W. and TaylorR. E. (1970), Simulation and Analysis of Industrial Systems. Homewood, Illinois: Richard D. Irwin.
26.
ShosteckHerschel (1975), “Shopping, Voting and Media Preference,”Journal of Advertising Research, 15 (December), 35–8.
27.
SollerM. and PutterJ. (1964), “On the Probability that the Best Chicken Stock Will Come Out Best in a Single Random Sample Test,”Poultry Science, 43 (November), 1425–27.
28.
SollerM. and PutterJ. (1965), “Probability of Correct Selection of Sires Having Highest Transmitting Ability,”Journal of Dairy Science, 48 (June), 747–8.
29.
WaldA. (1947), Sequential Analysis. New York: John Wiley & Sons, Inc.
30.
WalkerBruce J. and BurdickRichard K. (1977), “Advance Correspondence and Error in Mail Surveys,”Journal of Marketing Research, 14 (August), 379–82.