Question

1. A sample of HR managers were selected to examine whether they expect job seekers of different races (Black vs. White) to negotiate salary offers. In the experiment, each participant was randomly assigned to view one of two versions of a fictitious job seeker’s resume. Resumes in the two conditions contained identical names, background, and job history information; the job seeker’s race was manipulated through the pictures shown at the top of the resume (Black male or White male). Each participant was asked to rate “Do you think this job seeker is to negotiate his salary offer?” (Responses were measured on a Yes-No format, 1 = Yes, 0 = No).

1. Two independent sample mean comparison
2. Two-way ANOVA
3. Independence Chi-square test
4. Correlation

1. In the recent employee engagement survey, a sample of customer service employees were asked to report how often customers generally engaged in misbehaviors toward them in the past three months (measured on a 7-point Likert-type scale, 1 = never, 7 = always). The company wants to know whether different types of service employees (1 = full-time; 2 = part-time) received customer misbehaviors to the same extent.

1. Two paired sample mean comparison
2. Two-way ANOVA
3. Two Independent sample mean comparison
4. Independence Chi-square test

1. A manufacturing company wants to explore whether there are regional differences in individual employee turnover intention. In a recent employee attitudinal survey, the company asked 120 employees at three different plants of the company (1 = Ohio, 2 = Michigan, 3 = Pennsylvania) about the extent to which they plan to leave the company in the next 6 months (measured on a 5-point Likert-type scale, 1 = very unlikely, 5 = very likely).

1. Two independent sample mean comparison
2. One-way ANOVA
3. Two-way ANOVA
4. Independence Chi-square test

1. A university identified 50 faculty members who taught both online courses and traditional classroom courses in the Fall Semester 2018 and collected their Student Evaluation of Instruction (SEI) scores for the online courses and the traditional courses. The university wanted to use this dataset to evaluate whether instructors receive the same level of student evaluations when they teach online courses and traditional courses in classroom.
   

1. Two independent sample mean comparison
2. One-way ANOVA
3. Two paired sample mean comparison
4. Independence Chi-square test

1. A research team wants to examine whether switching jobs can increase pay for both male and female faculty. They collected a sample of 200 assistant professors in Management who graduated in 2015 and asked them to report their salary (in dollar), their gender (1 = male, 2 = female) and whether they had changed jobs since graduation (1 = Yes, 0 = No).  

1. Simple regression
2. Multiple regression
3. Two-way ANOVA
4. Two independent sample mean comparison

Answer 1

1. Answer: Independence Chi-square test

Reason : The reason is that in this problem, you interested to know whether there is a dependency between "race" and "whehther or not they can negotiate their salary offer". This can be done using a chi-square test for independence and conlude whether they were dependent or independent. It cannot be Two independent sample mean comparison because we are not interested in testing any kind of mean here. Also, it cannot be correlation since we are speaking about categorical variable and also we do not have two variables. It cannot be Two-way Anova because we use that only when comparing the mean yield of different treatments which is not the case here.

2. Answer: Two independent sample mean comparison

Reason: Here, we are interested to know whether there is a mean difference of the customer misbehaviour between different types of employees. We collect data on customer behaviour received by full time employee (X) and customer behaviour received by part time employee (Y). The mean difference between X and Y can give significant results here. It cannot be two paired sample mean comparison as it is not a repeated measures sample. Also we are not testing dependence to use Chi-square test and not Two-way anova since we use that only when comparing the mean yield of different treatments which is not the case here.

3. Answer: One-way ANOVA

Reason: Here, we want to know if there is any mean difference in individual employee turnover intention. We use this technique when we want to calculate the significanc difference between the mean of two or more independent groups. It is not two way ANOVA since we do not have two sources of variation here. The rest follows from above reasoning.

4. Answer: Two paired sample mean comparison.

Reason: We can see that this is a repeated (dependent) sample problem, i.e., we are taking two sets of data from the same source and testing for statistical difference. If it was independent, we could have used two independent sample mean comparison. The other reasoning follows from above.

5. Answer: Two-way ANOVA

Reason: We can use a two-way ANOVA to know whether there is an interaction between gender and job switching among assistant professors. We are considering gender and job switching as the factors and conclude based on this. It cannot be a regression problem since we cannot predict anything from this data.