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1. When testing joint hypothesis, you should a. use t-statistics for each single hypothesis in H0...

1. When testing joint hypothesis, you should

a. use t-statistics for each single hypothesis in H0 and reject the H0 if all of the restrictions fail.

b. use the F-statistic and reject all the hypotheses in H0 if the statistic exceeds the critical value.

c. use t-statistics for each single hypothesis and reject the H0 once the statistic exceeds the critical value for a single hypothesis.

d. use the F-statistics and reject at least one of the hypotheses in H0 if the statistic exceeds the critical value.

Consider the following multiple regression model, ?? = ?1 + ?2?2? + ?3?3? + ?4 ?4? + ??

Which one of the following would be a possible restricted regression for testing the null hypothesis ?0 : ?2 + ?3 = 1?

a. ?? = ?1 + ?2?2? + ?3?3? + ?4?4? + ??

b. ?? = ?1 + ?3 (?3? − ?2? ) + ?4?4? + ??

c. (?? − ?2? ) = ?1 + ?3 (?3? − ?2? ) + ?4?4? + ??

d. (?? − ?2? ) = ?1 + ?3?3? + ?4?4? + ?t

math   Statistics-And-Probability   
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