Question

In: Statistics and Probability

Bianca is conducting a study on high school​ students' perceptions of the importance of​ e-mail as...

Bianca is conducting a study on high school​ students' perceptions of the importance of​ e-mail as a communication method. She is particularly interested in whether​ first-year high school students have different​ attitudes/beliefs about​ e-mail than do their senior peers. She gives a​ 10-question survey to a sample of 12 students. A completed survey for you to view is located in course materials.

A. Will you analyze single​ items, summed​ scores, or difference​ scores?

B.  One participant​ (Senior #5) has inadvertently marked her answer for Item 7 in the row for Item​ 6, resulting in two answers for Item 6. What should you do to account for the extra​ data? Would it be preferable to delete her data entirely from the​ dataset, or would you average the two scores together and assign that as the score for Item​ 6. Explain your answer.

C. Based on the information you​ have, discuss the limitations for this particular study.

Solutions

Expert Solution

Ans:

A) First of all, we know about what is the summed score? the summed score is the mean or actual sum of the scale items. We have a sample of 12 students, Say n=12

we know item Item analysis is a process that examines student responses to individual test items (questions) in order to assess the quality of those items and of the test as a whole.

The mean (average)  of an item can be calculated by the following formula

the number of points earned by all students on the item (divided by)
total number of students

B) In this situation, there is no option without treating it as an outlier you should remove the answer completely since no statistical evidence or program will be able to measure this unless you can divide it into two separate questions, which shouldn't be done. Be prepare or teach participants earlier before the survey that only one response to one question will be considered as an answer or correct feedback of that particular question.

But when the situation arises in which more than one participant gives more than one response for a single question then might you have to retake the survey and make sure do not consider the question which has the possibility of more than a single response.

C)  

Limitations on the given information:

  1. The age generation gap may effect.
  2. If the email features are updated for first-year students as compare to peer then it also effects on the responses.
  3. Limitation of the more than one choice for a single question that I mentioned in part B).

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