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Chi-square
vishal.sarin09@gmail.com1
vishal.sarin09@gmail.com2
 These tests are based on categories (as with nominally
scaled data) or on ranks (sometimes ever ordering is not
required).
 Distribution free tests
 Weak and less efficient
Chi-square
vishal.sarin09@gmail.com3
Oi is the observed frequency of ith
category
Ei is the expected frequiency of ith
category
Goodness of fit (Based on weighted score)
vishal.sarin09@gmail.com4
A manufacturer desires to know the customer preference
for packaging his product. Four different package designs
are available. A random sample of 113 customers gave
the information in Goodness of fit.sav
vishal.sarin09@gmail.com5
Before running our chi-square
goodness of fit test, we need
to let SPSS know that the
numbers in the second
column are frequency counts,
not scores.
vishal.sarin09@gmail.com6
vishal.sarin09@gmail.com7
There is no significant preference among the four
categories.
Chisquare.sav
vishal.sarin09@gmail.com8
 Chi-square test of independence
 Student owns a car (owncar)
 Student is a resident living on campus or a commuter
(res)
vishal.sarin09@gmail.com9
vishal.sarin09@gmail.com10
vishal.sarin09@gmail.com11
Pearson Chi-square statistics is equal to 15.759 with a
significance equal to 0.000.
Thus, we reject the null hypothesis
Conclusion: Car ownership and residency are not independent of each
other or these two variables are significantly related.
Lets Practice Chi-sq based on weigh casesLets Practice Chi-sq based on weigh cases
vishal.sarin09@gmail.com12
 Tintin is a media researcher. He wants to know whether
the movie preference was dependent on location of the
respondent.
 The responses indicate, 75 respondents each have seen
movies 3 Idiots and Dabangg. His reponses indicate 71
respondents from Delhi and 79 respondents from
Mumbai.
 Movie – 1 (3 Idiots), 2 (Dabangg)Movie – 1 (3 Idiots), 2 (Dabangg)
 Place – 1 (Delhi), 2(Mumbai)Place – 1 (Delhi), 2(Mumbai)
 Filename: MovieChisquare.savFilename: MovieChisquare.sav
vishal.sarin09@gmail.com13
vishal.sarin09@gmail.com14
vishal.sarin09@gmail.com15
vishal.sarin09@gmail.com16
vishal.sarin09@gmail.com17
 There is significant difference in location and movie
relatedness.
 Based on the previous output, we can conclude that 3
Idiots was much popular in Delhi and Dabangg was much
preferred in Mumbai
Goodness of Fit (Based on Individual scores)
vishal.sarin09@gmail.com18
 Mr. Bond wants to know whether internet has influence on
cost/price comparison of products. He also wants to know
the influence of internet in case of online ordering.
 Null hypothesis(1): There is not much influence of internet in
case of cost/price comparison
 Null hypothesis (2): There is not much influence of internet in
case of online ordering.
 Coding
 1 = Never
 2 = Occasionally
 3 = Considerably
 4 = Almost always
 5 = Always
File
Internet.sav
vishal.sarin09@gmail.com19
 Analyze
vishal.sarin09@gmail.com20
vishal.sarin09@gmail.com21
vishal.sarin09@gmail.com22
 For cost/price comparison, chi-
square value of 42.207 showing a
significant difference in expected
and observed frequencies. H0
rejected.
 Suggesting: There is much influence
of internet in case of cost/price
comparison.
 For Online ordering, chi-square value of 58.034 showing a
significant difference in expected and observed
frequencies. H0 rejected.
 Suggesting: There is much influence of internet in case of
online ordering.
vishal.sarin09@gmail.com23
Thank you!Thank you!

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Chi square