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Using Crosstabs with Nominal Data
Feelings about the Bible BY Are You a
Born-Again Christian?
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OBSERVED Frequencies
|
|
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Are you a born-again Christian?
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What do you think about the Bible?
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Yes
|
No
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Totals
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It is literally the word of God
|
368
|
194
|
562
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It was divinely inspired but don't
take literally
|
198
|
541
|
739
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It is a book written by humans
|
16
|
103
|
119
|
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Totals
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582
|
838
|
1420
|
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Marginal Totals without Cell Entries
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|
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Are you a born-again Christian?
|
|
What do you think about the Bible?
|
Yes
|
No
|
Totals
|
|
It is literally the word of God
|
|
|
562
|
|
It was divinely inspired but don't
take literally
|
|
|
739
|
|
It is a book written by humans
|
|
|
119
|
|
Totals
|
582
|
838
|
1420
|
|
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EXPECTED Frequencies that satisfy marginal
totals
|
|
|
Are you a born-again Christian?
|
|
What do you think about the Bible?
|
Yes
|
No
|
Totals
|
|
It is literally the word of God
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582*562/1420=
230.3
|
838*562/1420=
331.7
|
562
|
|
It was divinely inspired but don't
take literally
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582*739/1420=
302.9
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838*739/1420=
436.1
|
739
|
|
It is a book written by humans
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582*119/1420=
48.8
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838*119/1420=
70.2
|
119
|
|
Totals
|
582
|
838
|
1420
|
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Computation of Chi-Square = 
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Value of Chi-Square
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degrees of freedom
= (r-1)(c-1)
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Significance
value for 2 df at .05 = 5.991
|
|
238.269
|
2
|
.000
|
|
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Measures of Association
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Phi =
|
.410
|
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Lambda symmetric =
|
.272
|
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Cramer's V =
|
.410
|
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asymmetric, Bible dependent =
|
.250
|
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Contingency coefficient, C =
|
.379
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asymmetric, born dependent =
|
.299
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