# STAT GRADIENT

stat gradient

Instructions:

Sleep-Mood Gradient 2

Read the article “Effects of one night on induced night-wakings versus sleep restriction on sustained attention and mood: a pilot study”. Revise the results you have been obtaining when analyzing different aspects of the lab data set.

Your response to this article should be in a well-written essay of 200 to 1200 words, including a total of 3 to 7 paragraphs. Correct spelling, punctuation, and grammar should be used throughout the essay. Do not put your name in the essay! Your essay should include all of the information requested in the following guiding questions.

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Order Paper NowNote: An F-test involving two groups (1 numerator degree of freedom), i.e., an ANOVA test with 1 df, is equivalent to a students t-test (comparison of 2 means).

Prompt Questions:

1.) Summarize the main conclusions of this study.

2.) Describe the data set used in our lab and in the research paper. Specifically indicate sample sizes and variables measured in both. Are there any differences between the data set used in the research paper and the data set used in lab?

3.) Name the three different aims of the paper regarding the results in section 3.

4.) In the paper, is there evidence that the mean true sleep hours is different for normal sleep nights vs. sleep disruption nights? Discuss the test the authors used to answer this question. Indicate the p-value they got and why that supports their conclusion regarding this question at the 1% significance level.

5.) Using the data provided in Table 1, with a t-test, assess whether there is evidence that there is a difference between the mean of vigor-activity for normal sleep and the mean of vigor-activity for manipulated sleep in the population at the 5% significance level. Write down all four steps of the significance test: explicitly state the hypotheses using appropriate notation, write down the equation for the test statistic and substitute the values for this case and give the value of the test statistic to two decimal places, write the probability statement of the p-value, and clearly state your conclusion. Assume that data on vigor-activity for normal and manipulated sleep is collected from two samples of the same size n1=n2=58.

6.) Discuss your result of the comparison of means test done in question 5 compared to those presented in Table 1. Explicitly write the value of the test statistic for the test done by the authors of the paper to check whether night has an effect on vigor-activity and the corresponding P-value. Comment on whether the conclusions of the comparison of means test done in question 5 agree with those of the authors. Make sure you explain why.

NOTE: The p-values of the comparison of means test and the F test will not be exactly the same. The F test is part of the repeated measures ANOVA that includes other factors and interactions. Simply address in your discussion whether or not one can conclude the same at the 5% significance level for both tests and why.

7.) In lab we found that there is evidence that not all population means of HTS Normal are the same depending on the persons mood before going to sleep. At the 5% significance level, we would like to know in between what any two mood groups we have evidence that the means of HTS Normal are not the same in the population. Discuss explicitly (by name) what test we need to run in order to answer the question.

Assignment Description:

Sleep-Mood Gradient 2

Read the article “Effects of one night on induced night-wakings versus sleep restriction on sustained attention and mood: a pilot study”. Revise the results you have been obtaining when analyzing different aspects of the lab data set.

Your response to this article should be in a well-written essay of 200 to 1200 words, including a total of 3 to 7 paragraphs. Correct spelling, punctuation, and grammar should be used throughout the essay. Do not put your name in the essay! Your essay should include all of the information requested in the following guiding questions.

Note: An F-test involving two groups (1 numerator degree of freedom), i.e., an ANOVA test with 1 df, is equivalent to a students t-test (comparison of 2 means).

Prompt Questions:

1.) Summarize the main conclusions of this study.

2.) Describe the data set used in our lab and in the research paper. Specifically indicate sample sizes and variables measured in both. Are there any differences between the data set used in the research paper and the data set used in lab?

3.) Name the three different aims of the paper regarding the results in section 3.

4.) In the paper, is there evidence that the mean true sleep hours is different for normal sleep nights vs. sleep disruption nights? Discuss the test the authors used to answer this question. Indicate the p-value they got and why that supports their conclusion regarding this question at the 1% significance level.

5.) Using the data provided in Table 1, with a t-test, assess whether there is evidence that there is a difference between the mean of vigor-activity for normal sleep and the mean of vigor-activity for manipulated sleep in the population at the 5% significance level. Write down all four steps of the significance test: explicitly state the hypotheses using appropriate notation, write down the equation for the test statistic and substitute the values for this case and give the value of the test statistic to two decimal places, write the probability statement of the p-value, and clearly state your conclusion. Assume that data on vigor-activity for normal and manipulated sleep is collected from two samples of the same size n1=n2=58.

6.) Discuss your result of the comparison of means test done in question 5 compared to those presented in Table 1. Explicitly write the value of the test statistic for the test done by the authors of the paper to check whether night has an effect on vigor-activity and the corresponding P-value. Comment on whether the conclusions of the comparison of means test done in question 5 agree with those of the authors. Make sure you explain why.

NOTE: The p-values of the comparison of means test and the F test will not be exactly the same. The F test is part of the repeated measures ANOVA that includes other factors and interactions. Simply address in your discussion whether or not one can conclude the same at the 5% significance level for both tests and why.

7.) In lab we found that there is evidence that not all population means of HTS Normal are the same depending on the persons mood before going to sleep. At the 5% significance level, we would like to know in between what any two mood groups we have evidence that the means of HTS Normal are not the same in the population. Discuss explicitly (by name) what test we need to run in order to answer the question.