bb-set14-elaboratingbivariatetables-10e-m33evvfs.pdf

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Answered Same DayApr 27, 2021

Answer To: bb-set14-elaboratingbivariatetables-10e-m33evvfs.pdf

Rajeswari answered on Apr 28 2021
134 Votes
55772 assignment
Working notes:
For a 2x2 contingency table,
Start with the upper left square and multiply by the sum of all agreeing squares below and to the right. N_c
Find the number of disconco
dant pairs, N_d is calculated the same way but starting with upper right square and multiply by the sum of all non supporting squares below and to the right. Do this again for every non supporting square, working down and left.
Now insert in formula as
Gamma =
Gamma always lies between -1 and +1.
If gamma is 0, there is no relationship. If gamma lies near -1 there is a strong negative relationship and if gamma is near to 1 there is appositive strong relationship.
Qno.1
Main part:
To find relationship between completion of training and holding job for atleast one year:
    126
    72
    60
    145
    
    
    N_c
    18270
    N_d
    4320
    
    
    Gamma
    0.61753
    Percentage is 61.75
    
Thus we find that there is a positive moderate relationship between the two variables
a) Whites
    47
    38
    33
    85
    
    
    N_c
    3995
    N_d
    1254
    
    
    Gamma
    0.522195
In part a we find there is a moderate positive relationship between strength and direction.
Percent is 52.22
b) Nonwhites
    79
    34
    27
    60
    
    
    N_c
    4740
    N_d
    918
    
    
    Gamma
    0.675504
Percent = 67.55
We find that there is a positive moderate relationship for nonwhites between strength and direction.
Comparing a and b we find that among non whites training gives more effect for holding the job for atleast one year than for whites.
c) Gender and holding job atleast one year.(Males)
    63
    36
    30
    73
    
    
    N_c
    4599
    N_d
    1080
    
    
    Gamma
    0.619651
Again there is a positive moderate correlation amont males. Percent = 61.96%
d) Females
    64
    36
    30
    72
    
    
    N_c
    4608
    N_d
    1080
    
    
    Gamma
    0.620253
Percent = 62.02%
Comparing males and females we find the gamma coefficient is almost equal and hence it is not affected by gender.
Q.no.2
For main part of table,
    Approval of Homosexuality by Age...
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