Data from the semantic differential are often analyzed with a repeated-measures analysis of variance. The problem of an appropriate distance function is addressed and a permutation multivariate repeated-measures analysis of variance is introduced which preserves the Euclidean data space mandated by the semantic differential.
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References
1.
BockR. D. (1975) Multivariate statistical methods in behavioral research. New York, NY: McGraw-Hill.
2.
BrownR. W. (1958) Review of the bookThe measurement of meaning. Contemporary Psychology, 3, 113–115.
3.
BynnerJ.CoxheadP. (1979) Some problems in the analysis of semantic differential data. Human Relations, 32, 367–385.
4.
CarrollJ. B. (1959) Review of the bookThe measurement of meaning. Language, 35, 58–77.
5.
ChungJ. H.FraserD. A. S. (1958) Randomization tests for a multivariate two-sample problem. Journal of the American Statistical Association, 53, 729–735.
6.
CliffN. (1959) Adverbs as multipliers. Psychological Review, 66, 27–44.
7.
CronbachL. J.GleserG. C. (1953) Assessing similarity between profiles. Psychological Bulletin, 50, 456–473.
8.
DeBurgerR. A.DonahoeJ. W. (1965) Relationship between the meanings of verbal stimuli and their associative responses, Journal of Verbal Learning and Verbal Behavior, 4, 25–31.
9.
EdgingtonE. S. (1980) Randomization tests. New York, NY: Marcel Dekker.
10.
EndlerN. S. (1961) Changes in meaning during psychotherapy as measured by the semantic differential. Journal of Counseling Psychology, 8, 105–111.
11.
FinstuenK. (1977) Use of Osgood's semantic differential. Psychological Reports, 41, 1219–1222.
12.
FisherR. A. (1935) The design of experiments. Edinburgh: Oliver & Boyd.
13.
GreenB. F. (1977) A practical interactive program for randomization tests of location. American Statistician, 31, 37–39.
14.
HeiseD. R. (1969) Some methodological issues in semantic differential research. Psychological Bulletin, 72, 406–422.
15.
HoeffdingW. (1952) The large-sample power of tests based on permutations of observations. Annals of Mathematical Statistics, 23, 169–192.
16.
HubertL. J.LevinJ. R. (1977) Inference models for categorical clustering. Psychological Bulletin, 83, 878–887.
17.
IyerH. K.BerryK. J.MielkeP. W. (1983) Computation of finite population parameters and approximate probability values for multi-response randomized block permutation procedures (MRBP). Communications in Statistics–Simulation and Computation, 12, 479–499.
18.
JohnsonR. C.ThomsonC. W.FrinckeG. (1960) Word values, word frequency, and duration thresholds. Psychological Review, 67, 332–342.
19.
MielkeP. W. (1986) Non-metric statistical analysis: some metric alternatives. Journal of Statistical Planning and Inference, 16, 430.
20.
MielkeP. W.BerryK. J. (1983) Asymptotic clarifications, generalizations, and concerns regarding an extended class of matched pairs tests based on powers of ranks. Psychometrika, 48, 483–485.
21.
MielkeP. W.IyerH. K. (1982) Permutation techniques for analyzing multi-response data from randomized block experiments. Communications in Statistics–Theory and Methods, A11, 1427–1437.
22.
OsgoodC. E. (1952) The nature and measurement of meaning. Psychological Bulletin, 49, 197–237.
23.
OsgoodC. E.LuriaZ. (1954) A blind analysis of a case of triple personality using the semantic differential. Abnormal and Social Psychology, 49, 579–591.
24.
OsgoodC. E.SuciG. J. (1952) A measure of relation determined by both mean difference and profile information. Psychological Bulletin, 49, 251–262.
25.
OsgoodC. E.SuciG. J.TannenbaumP. H. (1957) The measurement of meaning. Urbana, IL: Univer. of Illinois Press.
26.
PitmanE. J. G. (1937) Significance tests which may be applied to samples from any populations. Supplement of the Journal of the Royal Statistical Society, B4, 119–130.
27.
PitmanE. J. G. (1938) Significance tests which may be applied to samples from any populations: III. The analysis of variance test. Biometrika, 29, 322–335.
28.
WaldA.WolfowitzJ. (1944) Statistical tests based on permutations of the observations. Annals of Mathematical Statistics, 15, 358–372.
29.
WelchB. L. (1937) On the z-test in randomized blocks and Latin squares. Biometrika, 29, 21–52.
