The analysis of marketing data is frequently complicated by factorial designs with unequal cell sizes. This article discusses the marketing research advantages and problems of the General Linear Hypothesis approach to such analysis and illustrates the General Linear Hypothesis in the context of a new product experiment.
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References
1.
AppelbaumMark I., and CramerElliot M.“Some Problems in the Nonorthogonal Analysis of Variance,”Psychological Bulletin, 81(June 1974), 335–43.
2.
AlpertMark I., and PetersonRobert A.“On the Interpretation of Canonical Analysis,”Journal of Marketing Research, 9(May 1972), 187–92.
3.
BanksSeymour. Experimentation in Marketing.New York: McGraw-Hill, 1965.
4.
BarclayWilliam D.“Factorial Design in a Pricing Experiment,”Journal of Marketing Research, 6(February 1969), 427–9.
5.
BarrowLionel C.“New Uses of Covariance Analysis,”Journal of Advertising Research, 7(December 1967), 49–54.
6.
BockR. Darrell. “Programming Univariate and Multivariate Analysis of Variance,”Technometrics,5 (February 1963), 95–117.
7.
BockR. Darrell. and HaggardErnest A.“The Use of Multivariate Analysis of Variance in Behavioral Research,” in WhitlaDean K., ed., Handbook of Measurement and Assessment in Behavioral Sciences.Reading, Mass.: Addison-Wesley, 1968.
8.
BottenbergR. A., and WardJ. H.Applied Multiple Regression, Air Force Technical Report (PRL–TDR–63–6), Lackland Air Force Base, Texas, 1963.
9.
CampbellDonald T., and StanleyJulian C.Experimental and Quasi-Experimental Designs for Research.Chicago: Rand McNally, 1963.
10.
CardozoRichard N., and CagleyJames W.“Experimental Study of Industrial Buyer Behavior,”Journal of Marketing Research, 8(August 1971), 325–34.
11.
ClydeDean J., CramerElliot M., and SherinRichard J.Multivariate Statistical Programs.Coral Gables, Fla.: Biometric Laboratory, University of Miami, 1966.
12.
CochranW. G., and CoxG. M.Experimental Designs.New York: John Wiley & Sons, 1957.
13.
CohenJacob. “Multiple Regression as a General Data-Analytic System,”Psychological Bulletin, 70(December 1968), 426–43.
14.
CooleyWilliam W., and LohnesPaul R.Multivariate Data Analysis.New York: John Wiley & Sons, 1971.
15.
CramerElliot M.“The Revised MANOVA Program,” Lab Report. Chapel Hill: University of North Carolina Psychometric Lab,1967.
16.
DardenWilliam R.“Comparison of Canonical Correlation and Discriminant Analysis: A Business Research Example,”Journal of Business Administration, 6(Fall 1974), 1–15.
17.
DardenWilliam R., and FlaschnerAlan B.“Visual Presentation of Marketing Stimuli Defined in Hyperspace”Journal of Marketing Research, 11(November 1974), 456–61.
18.
DardenWilliam R., and PerreaultWilliam D.“A Multivariate Analysis of Media Exposure and Vacation Behavior with Life Style Covariates,” Working Paper, Department of Marketing, University of Georgia, 1974.
19.
DardenWilliam R., and ReynoldsFred D.“Multivariate ANOVA in Marketing: An Exposition and Case Analysis,”Proceedings. Annual Meeting, American Institute of Decision Sciences, 1972, 105–11.
20.
DardenWilliam R., and ReynoldsFred D.“Male Apparel Innovativeness and Social Context: An Application of Multivariate Analysis of Variance.”Proceedings. Annual Conference, Association for Consumer Research, 1973, 473–83.
21.
DardenWilliam R., and ReynoldsFred D.“Backward Profiling of Male Innovators,”Journal of Marketing Research, 11(February 1974), 70–8.
22.
DayGeorge S., and HeelerRoger M.“Using Cluster Analysis to Improve Marketing Experiments”Journal of Marketing Research, 8(August 1971), 340–7.
23.
DixonW. J., ed. BMD: Biomedical Computer Programs.Berkeley: University of California Press, 1973.
24.
FisherR. A.Statistical Methods for Research Workers.New York: Hafner, 1958.
25.
GraybillFranklin A.An Introduction to Linear Statistical Models, Volume I. New York: McGraw-Hill,1961.
26.
GreenPaul E.“On the Analysis of Interactions in Marketing Research Data,”Journal of Marketing Research, 10(November 1973), 410–20.
27.
GreenPaul E., HolbertMichael H., and RobinsonPatrick J.“Canonical Analysis: An Exposition and Illustrative Application,”Journal of Marketing Research, 3(February 1966), 32–9.
28.
GreenPaul E., and TullDonald S.“On Methods: Covariance Analysis in Marketing Experimentation,”Journal of Advertising Research, 6(June 1966), 45–53.
29.
GreenPaul E., and TullDonald S.Research for Marketing Decisions.Englewood Cliffs, N.J.: Prentice-Hall, 1970.
30.
HollandCharles W., and CravensDavid W.“Fractional Factorial Experimental Designs in Marketing Research,”Journal of Marketing Research, 10(August 1973), 270–6.
31.
HollowayRobert J., ed. A Basic Bibliography on Experiments in Marketing.Chicago: American Marketing Association, 1967.
32.
HughesG. David, and GuerreroJose L.“Testing Cognitive Models Through Computer Controlled Experiments,”Journal of Marketing Research, 8(August 1971), 291–7.
33.
JenningsE.“Fixed Effects Analysis of Variance By Regression Analysis,”Multivariate Behavioral Research, 2(January 1967), 95–108.
34.
JoeGeorge W.“Comment on Overall and Spiegel's Least Squares Analysis of Experimental Data,”Psychological Bulletin, 75(May 1971), 364–6.
35.
KinnearThomas C., and TaylorJames R.“Multivariate Methods in Marketing Research: A Further Attempt at Classification,”Journal of Marketing, 35(October 1971), 56–9.
36.
MassyWilliam F.“Discriminant Analysis of Audience Characteristics,”Journal of Advertising Research, 5(March 1965), 39–48.
37.
OverallJohn E., and James KlettC.Applied Multivariate Analysis.New York: McGraw-Hill, 1972.
38.
OverallJohn E., and SpiegelDouglas K.“Concerning Least Squares Analysis of Experimental Data,”Psychological Bulletin, 72(November 1969), 311–22.
39.
PerreaultWilliam D., and DardenWilliam R.“GRAFIT: Computer Based Graphics for Interpretation of Multivariate Analysis,”Journal of Marketing Research, 12 (August 1975), 343–5.
40.
PetersonRobert A., and CagleyJames W.“The Effect of Shelf Space Upon Sales of Branded Products: An Appraisal,”Journal of Marketing Research, 10(February 1973), 103–4.
41.
RawlingsRobert R.Jr.“Note on Nonorthogonal Analysis of Variance,”Psychological Bulletin, 77(May 1972), 373–4.
42.
TatsuokaMaurice M.Multivariate Analysis: Techniques for Educational and Psychological Research.New York: John Wiley & Sons, 1971.
43.
VenkatesanM., and HollowayRobert J.An Introduction to Marketing Experimentation.New York: The Free Press, 1971.
44.
WamplerRoy H.“A Report on the Accuracy of Some Widely Used Least Squares Computer Programs,”Journal of the American Statistical Association, 65(June 1970), 549–65.
45.
WertsCharles E., and LinnRobert L.“Causal Assumptions in Various Procedures for the Least Squares Analysis of Categorical Data,”Psychological Bulletin, 75(June 1971), 430–1.
46.
WilksS. S.“Certain Generalizations in the Analysis of Variance,”Biometrika, 24(November 1932), 471–94.
47.
WilliamsJohn D.“Two Way Fixed Effects Analysis of Variance With Disproportionate Cell Frequencies,”Multivariate Behavioral Research,1 (January 1972), 67–83.
48.
WindYoram, and DennyJoseph. “Multivariate Analysis of Variance in Research on the Effectiveness of TV Commercials,”Journal of Marketing Research, 11(May 1974), 136–42.
49.
WinerB. J.Statistical Principles in Experimental Design.New York: McGraw-Hill, 1971.
50.
WisemanFrederick. “Factor Interaction Effects in Mail Survey Response Rates,”Journal of Marketing Research, 10(August 1973), 330–3.
51.
WinterFrederick A.“Laboratory Experiment of Individual Attitude Response to Advertising Exposure,”Journal of Marketing Research, 10(May 1973), 130–40.