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# Stratified McNemar Tests C. Mitchell Dayton University of Maryland - PowerPoint PPT Presentation

Stratified McNemar Tests C. Mitchell Dayton University of Maryland. Table 1 Theoretic Proportions for 2X2 Table. McNemar Statistic computed from 2x2 table DF = 1 Correction for continuity is available. McNemar chi-square is equivalent to goodness-of-fit

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C. Mitchell Dayton

University of Maryland

Theoretic Proportions for 2X2 Table

DF = 1

Correction for continuity is available

chi-square computed from the table below.

is a latent class proportion

is a conditional probability for an item

latent class model

+ coded as 1

- coded as 2

Model for 2x2 Table: Restricted = Proctor Error Model

latent class model

+ coded as 1

- coded as 2

Class 1 = {+,+}

Class 2 = {-,-}

This model yields the same expected frequencies, DF,

and chi-square goodness-of-fit statistic as the McNemar test

on grouping on basis of manifest variable, y

GSS for six years: 1993 – 1998

Sample sizes varied from 856 to 1750

“She is married and does not want any more children”

“She is not married and does not want to marry the man”

* Six years of abortion data – Item: No More, Not Married

* Stratified McNemar test

* Homogeneous Model

lat 1

man 3

dim 2 6 2 2

lab X Y D H * X = latent variable; Y = year; D = No More; H = Not Married

mod Y

X|Y

D|XY eq2

H|XY eq2

des [0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 2 0

0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 2 0]

dat [342 45 47 422 376 42 41 475 429 43 44 476 829 90 78 903

725 109 75 867 672 68 69 941]

* Six years of abortion data – Item: No More, Not Married

* Stratified McNemar test

* Heterogeneous Model

lat 1

man 3

dim 2 6 2 2

l lab X Y D H * X = latent variable; Y = year; D = No More; H = Not Married

mod Y

X|Y

D|XY eq2

H|XY eq2

des [0 2 0 4 0 6 0 8 0 10 0 12 2 0 4 0 6 0 8 0 10 0 12 0

0 2 0 4 0 6 0 8 0 10 0 12 2 0 4 0 6 0 8 0 10 0 12 0]

dat [342 45 47 422 376 42 41 475 429 43 44 476 829 90 78 903

725 109 75 867 672 68 69 941]

* Six years of abortion data – Item: No More, Not Married

* Stratified McNemar test

* Part Heterogeneous Model C

lat 1

man 3

dim 2 6 2 2

lab X Y D H * X = latent variable; Y = year; D = No More; H = Not Married

mod Y

X|Y

D|XY eq2

H|XY eq2

des [0 2 0 4 0 4 0 4 0 2 0 6 2 0 4 0 4 0 4 0 2 0 6 0

0 2 0 4 0 4 0 4 0 2 0 6 2 0 4 0 4 0 4 0 2 0 6 0]

dat [342 45 47 422 376 42 41 475 429 43 44 476 829 90 78 903

725 109 75 867 672 68 69 941]

Akaike, H. (1973). Information theory and an extension of the maximum likelihood principle. In B.N. Petrov and F. Csake (eds.),

Bishop, Y. M. M., Fienberg, S. E. & Holland, P. W. (1975) Discrete Multivariate Analysis: Theory and Practice, Cambridge: MIT Press

Dayton, C. M. (1999) Latent Class Scaling Analysis. Sage Publications.

Dayton, C. M. & Macready, G. B. (1983) Latent structure analysis of repeated classifications with dichotomous data. British Journal of

Mathematical & Statistical Psychology, 36, 189-201.

Fleiss, J. L. (1981) Statistical Methods for Rates and Proportions. New York: Wiley

Haberman, S. J. (1979), Analysis of Qualitative Data, Volume 2: New Developments, New York: Academic Press.

McNemar Q. (1947) Note on the sampling error of the difference between correlated proportions or percentages. Psychometrika, 12, 153-157.

Maxwell A. E. (1970) Comparing the classification of subjects by two independent judges. British Journal of Psychiatry, 116, 651-655.

Schwarz, G. (1978). Estimating the dimension of a model. Annals of Statistics, 6, 461-464.

Stuart A. A. (1955) A test for homogeneity of the marginal distributions in a two-way classification. Biometrika, 42, 412-416.

Vermunt, J. K. (1993). Log-linear & event history analysis with missing data

using the EM algorithm. WORC Paper, Tilburg University, The Netherlands.