Multivariate statistical models in research on Women and Children

1. INTRODUCTION TO MULTIVARIATE STATISTICS Dr. Debdulal Dutta Roy, Ph.D. (Psy.) Psychology Research Unit Indian Statistical Institute Kolkata – 700 108 E-mail:ddroy@isical.ac.in (o) [email_address] http://www.isical.ac.in/~ddroy/abstract.html

7. List of Multivariate Statistical Tools Can we assess their perception, beliefs and attitudes ?

9. List of Multivariate Research Questions on Women and Child development

12. Some studies on Application of Multivariate statistics

15. Significant correlations suggest possible latent structure of relationship signifying latent meaning 1 0.19** 0.08* -0.03 0.04 0.25** 0.01 0.11* 0.22** 0.20** 0.29** 0.21** 0.33** Health checkup 13 1 0.05 0.15** 0.18** 0.07 -0.04 -0.01 -0.02 0.20** 0.17** 0 Book bank 11 1 0.30** 0.27** 0.24** 0.21** 0.34** 0.14** 0.07 0.05 0.11* Cultural programme 10 1 0.31** 0.33** 0.21** 0.24** 0.14** 0.11* 0.09* 0.08* Games 9 1 0.24** 0.31** 0.29** 0.21** 0.34** 0.30** 0.32** Friend 8 1 0.23** 0.24** 0.20** 0.05 -0.06 0.13** TLM 7 1 0.43** 0.41** 0.23** 0.11* 0.36** Book 6 1 0.38** 0.27** 0.22** 0.38** Teaching 5 1 0.22** 0.09* 0.33** Black board 4 1 0.61** 0.28** Toilet 3 1 0.25** Drinking Water 2 1 Classroom 1 13 12 11 10 9 8 7 6 5 4 3 2 1

16. Extraction of Factors using PCA 1.34 1.67 3.5 Eigen Value -0.17 0.46 0.38 Health checkup 0.26 -0.02 0.49 Mid-day meal 0.36 0.47 -0.35 Book bank 0.63 -0.01 0.19 Cultural Programme 0.74 0.11 0.07 Games 0.44 0.49 0.24 Friend 0.63 -0.09 0.21 TLM 0.25 0.07 0.68 Book 0.29 0.19 0.63 Teaching 0.1 0.06 0.7 Black board 0.03 0.79 0.2 Toilet -0.03 0.81 0.06 Drinking Water -0.03 0.35 0.62 Class room Activity based Infrastructure Supportive Infrastructure Basic Infrastructure Infrastructures

17. Plot of Eigenvalues

22. Correspondence Map of 14 Row and 5 Col. variables

24. Tree diagram based on cluster analysis

26. Fisher’s Linear Discriminant Functions for differentiating Schools with Good and Poor Infrastructure -15.57 -26.27 Constant 2.03 2.58 Equal Opportunity 4.51 6.2 Reliability 3.76 4.93 Comfort -0.45 -1.27 Safety -0.46 5.05 Cleanliness Poor Infrastructure Good Infrastructure Attitudinal Dimensions 0 5 101.41 0.53 0.687 0.9 P-Value Df Chi-Square Wilk's Lambda Canonical Correlation Eigen Values

27. Classification Matrix of Good and poor schools in terms of infrastructure availability Correct Classification Percentage= (75+60)/163 x 100=82.8 100 76.9 23.1 Poor 100 11.8 88.2 Percentage Good 163 70 93 Total 78 60 18 Poor 85 10 75 Count Good Total Predicted Group Poor Infrastructure Predicted Group Good Infrastructure Original Group

28. Box-plot Analysis of Discriminant Scores between Good and Poor Infrastructure Schools.

30. Thank You