Objectives

After studying the course, the students will be able to:

  1. Comprehend the basic concepts of statistics;
  2. Understand the statistical concepts more frequently applied in Education and other social sciences
  3. Apply various statistical techniques in analyzing research data in Education and other social sciences
  4. Apply appropriate statistics in qualitative and quantitative researches
  5. Understand the advanced concepts of statistics e
  6. specially multivariate analysis

 

Course Outline

 

Unit-1:

 

Unit:2:

 

Introduction to statistics

 

Inferential Statistics

 

 

  •  

Concept of Inferential Statistics

 

 

  •  

 Parametric versus Non-parametric Tests

 

 

  •  

Hypothesis Testing

 

 

  •  

Level of Significance

 

 

  •  

Types of Error

 

Unit-3:

Comparing Measures of Central Tendency between Groups

 

  •  

Differences between Groups

 

  •  

Comparing a Single Group

 

  •  

Comparing Two Groups

 

  •  

Comparing Two or More Groups

 

  •  

Paired or Dependent Measures

 

  •  

Two way ANOVA

 

  •  

Factorial Analysis of Variance

 

Unit-4:

Correlation and Regression

 

  •  

Correlation

 

  •  

Properties of Correlation Co-efficient

 

  •  

Factors Affecting Correlation

 

  •  

Multiple Correlation Co-efficient

 

  •  

Scatter Plots

 

  •  

Cronbach's Alpha

 

  •  

The Regression Line

           

 

Unit-5:

Probability and Distribution of Sample Means

 

 

  •  

Concept of Probability

 

 

  •  

Probability and the Normal Distribution

 

 

  •  

The Distribution of Sample Means

 

 

  •  

Probability and the Distribution of Sample Means

 

Unit-6:

Tests for Ordinal Data and Nominal Data

 

  •  

Spearman’s Correlation

 

  •  

Tests for Nominal Data

 

  •  

Chi-Square Goodness-of-Fit

 

  •  

Chi-Square Independence

 

  •  

Cochran’s Q

 

  •  

Phi or Cramer’s V (Correlations for Nominal Data)

 

         

Multivariate Analysis

 

Unit-7:   Introduction

  • Introduction to Multivariate statist number, nature, and combination of   variable In Multivariate statistics.
  •     The Data Matrix
  •      The Correlation Matrix
  •      The variance –covariance Matrix
  •      The sum of squares and crocs-Production Matrix
  •       Residuals

 

Unit-8:   Data preparation: screening data prior to Analysis

  • Accuracy of Data file
  •         Honest Correlations
  •        Missing data Analysis
  •        Outlines
  •         Normality
  •         Exploratory Factor Analysis

 

Unit- 9:   Multiple Regressions

  •       General purpose and Description
  •       Kinds of Research Question
  •       Limitation to Regression Analysis
  •       Fundamental Equations for Multiple Regressions

 

Unit- 10:     Discriminate Analysis

  •       General Purpose and Description
  •       Kind of research Question
  •       Limitation to Discriminate Analysis
  •       Fundamental Equation for Discriminate Analysis
  •      Types of Discriminate Function Analysis
  •       Issues of Discriminate Analyses.

 

Unit-11: Logistic Regressions

  •       General purpose Descriptions
  •       Kinds of Research Question
  •       Limitation to logistic Regression Analysis
  •       Fundamental equations for logistic Regression
  •       Types of logistic Regression   
  •        Issues of logistic Regression

Unit-12:   Multivariate Analysis of Analysis of Variance & Covariance MANCOVA.

  •       General Purpose and Description
  • Limitation to Multivariate Analysis of Variance (MANOVA) & MANCOVA
  •         Fundamental Equations for multivariate Analysis of variance
  •         Issues of MANOVA

 

Suggested Readings:

 

Cohen, L. Manion, L. and Morrison, K. (2007) Research methods in education (5th edition). London: Routledge.

Dunn, D. S., Smith, R. A, and Beins, B. C. (2007) Best practices in teaching statistics and research methods in the behavioral sciences. Lawrence Erlbaum Associates.

Gravetter, F. J. and Wallnau, L. B. (2004) Statistics for the behavioural sciences (6th edition). USA: Thomson and Wadsworth.

Greenacre, M.  (2007) Correspondence analysis in practice (2nd edition). Chapman and Hall/CR.

Howell, D. C. (2007) Statistical methods for psychology (6th edition). USA: Thomson and Wadsworth.

Lomax, R. G. (2007). An introduction to statistical concepts (2nd edition). Lawrence Erlbaum Associates.