# Topic 8 DQ 1 urgent

To determine whether a new sleeping pill has an effect that varies with dosage, a researcher randomly assigns adult insomniacs, in equal numbers, to receive either 4 or 8 grams of the sleeping pill. The amount of sleeping time is measured for each subject during an 8-hour period after the administration of the dosage. What type of design is this, and what type of statistic is needed to analyze the data?

Response 1:

I think that each group is an independent group. Since they are both being given the same drug (just in different dosages), I believe that we can compare population means between the two groups by conducting a 2-way ANOVA. The ANOVA's f-test can be used to analyze the data collected. Maybe, we could use a t-statistics and "simply" (I use this word lightheartedly) compare the means of both groups to identify differences in effect of the medicine.

Response 2:

This situation uses a new sleeping drug 4 grams (treatment1) or 8 grams (treatment2) as **the independent variable (nominal data; both sleeping pill)**. The samples are the adult who live with insomnia that they were assigned equally numbers but we do not know how much. T**he dependent variable** is the amount of sleeping time **(nominal data; sleep and do not sleep) **that researchers have to measure after the sample groups took this medicine 8 hrs. So, I think I select to use a **two-variables (X2) test.**

The null hypothesis is H0: There is not a relationship between the dosage of new pills and sleeping.

The alternative is H1: H0 is false.

**Sleep after taking the drug in 8 hours.new sleeping drugs 4 g. (n1)new sleeping drugs 8 g. (n2)**sleepABnot sleepCD

P.S. I am not sure that I can understand the situation correctly. So, as I understood this situation I think I should use an X2 test. If I am wrong please discuss.

Response 3:This study involves two different independent variables, which are the two different dosages that are being administered. Because there are two different independent variables here, a two-way ANOVA test is needed. You would need to use an f-statistic so that you can look at the statistical significance of the results of the test. The best way to determine if there’s a big different between taking a smaller dose verses taking a larger dose, the means of the test results will need to be compared. This can be done with a two-way ANOVA test.

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