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Richa Nandra, Lovely Professional University Unit 26:  - Test Hypothesis
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Unit 26:  - Test Hypothesis Notes

CONTENTS

Objectives
Introduction
26.1 Test of Hypothesis concerning Correlation Coefficient
26.1.1 Test of Hypothesis Concerning Significance of Correlation Coefficient

26.1.2 Test of Hypothesis concerning Correlation Coefficient using Fisher's Z test
26.1.3 Test Concerning Equality of Correlations in two Populations
26.2 Uses of c2 test
26.2.1 c 2 - test as a Goodness of Fit

26.2.2 c2 - test as a Test for Independence of Two Attributes
26.3 Summary
26.4 Keywords
26.5 Self Assessment

26.6 Review Questions
26.7 Further Readings

Objectives

After studying this unit, you will be able to:

 Discuss Test of Hypothesis Concerning Significance of Correlation Coefficient
 Describe Test of Hypothesis concerning Correlation Coefficient using Fisher's Z test
 Explain Test Concerning Equality of Correlations in two Populations

Introduction

In last unit you have studied about hypothesis concerning standard deviation. In this unit you
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will go through  - test hypothesis.
26.1 Test of Hypothesis concerning Correlation Coefficient

Let  be coefficient of linear correlation in a bivariate normal population and r be its estimator
based on a sample of n observations (X , Y ).
i i
26.1.1 Test of Hypothesis Concerning Significance of Correlation
Coefficient

Here we have to test whether  is different from zero. Accordingly, H and H are  = 0 and
0 a
  0 respectively.

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