Question

In: Statistics and Probability

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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