A researcher wants to investigate whether mindfulness training improves ability for employees to notice positive experiences in the workplace, and if this differs by gender and/or disposition. Employees were randomly assigned to one of two groups: no training or a half-day session. Gender was categorized as male or female. Disposition was categorized as follows: optimist, pessimist or realist.Ability to notice positive experiences in the workplace was quantified using a Likert-based ambulatory assessment. A factorial design was used to analyze the data. Question: How many null hypotheses (and thus, F-ratios) are there in this scenario?

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Asked May 24, 2019
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A researcher wants to investigate whether mindfulness training improves ability for employees to notice positive experiences in the workplace, and if this differs by gender and/or disposition.

  • Employees were randomly assigned to one of two groups: no training or a half-day session.
  • Gender was categorized as male or female.
  • Disposition was categorized as follows: optimist, pessimist or realist.
  • Ability to notice positive experiences in the workplace was quantified using a Likert-based ambulatory assessment. A factorial design was used to analyze the data.

Question: How many null hypotheses (and thus, F-ratios) are there in this scenario? 

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Expert Answer

Step 1

Solution:

This have 3 levels of disposition and 2 groups of factors. Thus, this problem refers to 32 factorial design. The following table shows the design of the given problem.

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Step 2

Null hypothesis:

For this factorial design, the null hypotheses are:

H01: There is no significant difference between the levels of Factor 1.

H02: There is no significant difference between the levels of Factor 2.

H03: There is no i...

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