Statistical Modelling of Data on Teaching Styles

This paper presents the detailed statistical modelling of an extensive body of educational research data on teaching styles and pupil performance. Clustering ofteachers into distinct teaching styles is carried out using a latent class model, and comparison of these latent classes for differences in pupil achievement is examined using unbalanced variance component ("mixed") models. Differences among the classes are altered by the prob abilistic clustering of the latent class model compared to the original findings of the Teaching Styles project, and the statistical significance of the differences is substantially reduced when allowance is made for the correlation among children taught by the same teacher.

[1]  R. D. Bock,et al.  Marginal maximum likelihood estimation of item parameters , 1982 .

[2]  R. D. Bock,et al.  Marginal maximum likelihood estimation of item parameters: Application of an EM algorithm , 1981 .

[3]  Murray Aitkin,et al.  TEACHING STYLES AND PUPIL PROGRESS: A RE‐ANALYSIS , 1981 .

[4]  M. Aitkin,et al.  Mixture Models, Outliers, and the EM Algorithm , 1980 .

[5]  F. Krauss.  Latent Structure Analysis , 1980 .

[6]  F. H. C. Marriott,et al.  Discrete Discriminant Analysis. , 1979 .

[7]  Leo A. Goodman,et al.  Analyzing Qualitative Categorical Data. , 1979 .

[8]  N. Laird.  Nonparametric Maximum Likelihood Estimation of a Mixing Distribution , 1978 .

[9]  J. E. Jackson.  Discrete discriminant analysis , 1978 .

[10]  Neville Bennett,et al.  Rite and Wrong: a Reply to A Chapter of Errors’ , 1977 .

[11]  J. Baron,et al.  Teaching Styles and Pupil Progress. , 1977 .

[12]  J. Hartigan.  Distribution Problems in Clustering , 1977 .

[13]  J. Jordan,et al.  A Typology of Teaching Styles in Primary Schools. , 1975 .

[14]  J. Hartigan.  Clustering Algorithms , 1975 .

[15]  H. Hartley,et al.  Computing Maximum Likelihood Estimates for the Mixed A.O.V. Model Using the W Transformation , 1973 .

[16]  J. Anderson.  Separate sample logistic discrimination , 1972 .

[17]  H. D. Patterson,et al.  Recovery of inter-block information when block sizes are unequal , 1971 .

[18]  S. R. Searle.  Linear Models , 1971 .

[19]  J. Wolfe.  PATTERN CLUSTERING BY MULTIVARIATE MIXTURE ANALYSIS. , 1970, Multivariate behavioral research.

[20]  N. E. Day.  Estimating the components of a mixture of normal distributions , 1969 .

[21]  Neil Henry.  Latent structure analysis , 1969 .

[22]  A. Hope.  A Simplified Monte Carlo Significance Test Procedure , 1968 .

[23]  K. Jöreskog.  Some contributions to maximum likelihood factor analysis , 1967 .

[24]  H. Hartley,et al.  Maximum-likelihood estimation for the mixed analysis of variance model. , 1967, Biometrika.