In what follows use any of the following tests: Regression, multiple regression, one- sided t-test or...

In what follows use any of the following tests: Regression, multiple regression, one- sided t-test or two-sided t-test. All conclusions should be based on 5% P-value threshold.

Choose the best fitting answer.

Open Brains data.

13. Task A: Perform two-sided t-test comparing the birth order and sex columns. What is the P-value?

a. 1
b. 0.5
c. 0.000794488
d. None of these

14. Task B: Perform regression where X-axis is the birth order and Y-axis is the sex (gender). What is the P-value related to the slope?

a. 1
b. 0.5
c. 0.000794488
d. None of these

15. Do these tests make sense?

a. Only t-test makes sense in this setting.
b. Only regression makes sense in this setting.
c. Both tests make sense in this setting.
d. Neither of the two tests make sense.

DATA: https://www.limes.one/Content/DataFiles/Brains.txt

Solutions

Expert Solution

13.

	birth order	sex
Mean	1.5	1.5
Variance	0.263158	0.263158
Observations	20	20
Pearson Correlation	0
Hypothesized Mean Difference	0
df	19
t Stat	0
P(T<=t) one-tail	0.5
t Critical one-tail	1.729133
P(T<=t) two-tail	1
t Critical two-tail	2.093024

p value = 1 (two sided test)

14.

SUMMARY OUTPUT

Regression Statistics
Multiple R	0
R Square	0
Adjusted R Square	-0.055555556
Standard Error	0.527046277
Observations	20

ANOVA
	df	SS	MS	F	Significance F
Regression	1	0	0	0	1
Residual	18	5	0.277777778
Total	19	5

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	1.5	0.372677996	4.024922359	0.000794488	0.717032585	2.282967415	0.717032585	2.282967415
birth order	-2.48253E-17	0.23570226	-1.05325E-16	1	-0.495192073	0.495192073	-0.495192073	0.495192073

p value of slope = 1

15.

Neither of the two tests make sense.

orchestra answered 1 year ago

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