What Are Qualitative Data Statistics?

The focus of this book is to introduce the statistical methods of categorical and ordinal variables. It is characterized by applying simple mathematical knowledge as much as possible to explain relevant statistical principles, so that scholars engaged in social science research can master and apply qualitative data measurement methods. In this book, probability ratios are the most important concepts and measurements throughout the book. When learning log-probability ratios and log-linear models, readers must have knowledge of ordinary linear regression and analysis of variance, combined with contingency table analysis methods, in order to understand the settings of the model and the meaning of its parameters ^[1]

Statistical analysis of qualitative data

Right!

The focus of this book is to introduce the statistical methods of categorical and ordinal variables. It is characterized by applying simple mathematical knowledge as much as possible to explain relevant statistical principles, so that scholars engaged in social science research can master and apply qualitative data measurement methods. In this book, probability ratios are the most important concepts and measurements throughout the book. When learning log-probability ratios and log-linear models, readers must have knowledge of ordinary linear regression and analysis of variance, combined with contingency table analysis methods, in order to understand the settings of the model and the meaning of its parameters ^[1]

Zhao Ping is a researcher at the Institute of Sociology, Chinese Academy of Social Sciences. ^[2]

Chapter 1 Two-dimensional Contingency Table / 1

1 Frequency and probability structure of contingency tables / 1

2 independent variables test / 5

3 Independence test of sequence data / 13

4 Test Statistics for Definite-Ordered Linked Lists / 17

5 r × c contingency table probability / 19

6 Accurate inspection of small samples / 23

7 analysis of variance / 30

Chapter 2 Multidimensional Contingency Tables / 41

1 Variable association and control of 3D contingency table / 41

2 Statistical analysis of 3D contingency tables / 50

3 Exact Corollary of Conditional Correlation / 53

4 Simplified measure of variable correlation / 56

Chapter 3 Logarithmic Linear Models / 72

1 Two-dimensional log-linear model of a class of variables / 72

2 3D logarithmic linear model of class variables / 75

3 Analyzing data using a log-linear model / 78

4 Log-linear model and ordinal data / 88

Chapter 4 Logarithmic Linear Models of Ordinal Variables / 92

1Logarithmic linear model of binary ordinal variables / 92

2 Logarithmic linear model of multivariate classification and ordinal variables / 98

3 Model with interaction terms / 103

Chapter 5 Log Probability Ratio Model / 107

1 Comparison of linear probability model and log probability ratio model / 107

2 Relationship between log-linear model and log-probability ratio model / 110

Chapter 6 Logarithmic Probability Ratio Models of Sequential Stressors / 119

1 Types and Applications of Log Probability Ratio Models / 119

2 Log-probability ratio model for ordinal-deterministic contingency tables / 126

3 Multivariate sequencing probability ratio model / 128

7. Rapid Development of Statistical Software

1 Analysis of qualitative data using SAS and SPSS / 132

2 Software for interactive classification tables / 154

References / 165 ^[2]