Project #38231 - Statistics

1. Do following calculations with this data set (1 point):

 

Nation

Population size

Wealth

1

small

poor

2

large

rich

3

large

poor

4

small

rich

5

large

poor

6

large

poor

7

small

rich

8

large

rich

9

large

poor

10

small

rich

 

1) Take population size as the independent variable and wealth as the dependent variable, construct a crosstabulation table.

2) Calculate column percentages in the table.

3) Reconstruct the table by presenting cell frequencies expected by the hypothesis of statistical independence.

4) Compute the chi-square for the table and draw your conclusion of whether the relationship between the two variables is statistically significant.

5) Compute Yule's Q for the table and interpret the result.

*6) This is a bonus question. Compute the adjusted Phi for the table and interpret the result. (1 bonus point)

 

 

PART I:  Hand Calculation Problems (2 points)

 

Presented below are correlations, means, and standard deviations for the earnings of fathers and sons obtained from a hypothetical sample of 100 respondents:

 

 

Son's earnings

Father's earnings

 

Mean

 

S.D.

Son's earnings

1.00

.58

25

60

Father's earnings

 

1.00

30

40

Let son's earnings be your dependent variable and father's earnings your independent variable.  Complete the following:

 

 

 

 

 

 

 

(1) Find ANOVA results and put them in the following summary table: (1 point)

 

SOURCE

SS

df

MS

F

Regression

 

 

 

 

Error

 

 

 

X

Total

 

 

X

X

 

(2) First, obtain the constant (a) and unstandardized regression coefficient (b). (0.5 point)

 

*(3) This is a bonus question. Perform t-test of significance for each coefficient and interpret both the coefficients and the test results. (1 bonus point)

 

 

(4) Second, write down the regression equation and perform the F test for the equation.  What conclusion can you draw from the above work about the effect of father’s earnings on son’s? (0.5 point)

Subject Mathematics
Due By (Pacific Time) 08/21/2014 01:30 pm
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