**Problem Description:**A psychologist at a private psychiatric hospital conducted a study to determine whether there was any significant difference in the length of stay for patients with different categories of diagnosis. The data collected included the length of stay (in weeks) for the last four patients in each of three major categories:- **Affective Disorders:** - 7 weeks - 6 weeks - 5 weeks - 6 weeks- **Cognitive Disorders:** - 12 weeks - 8 weeks - 9 weeks - 11 weeks- **Drug-Related Conditions:** - 8 weeks - 10 weeks - 12 weeks - 10 weeks**Means and Sums of Squares:**- $ M_1 = 6 $, $ SS_1 = 2 $- $ M_2 = 10 $, $ SS_2 = 10 $- $ M_3 = 10 $, $ SS_3 = 8 $- $ SS_{Between} = 42.67 $**Tasks:**a. **Test to Perform:** - Conduct an ANOVA (Analysis of Variance).b. **List the Hypotheses:** - Null Hypothesis ($ H_0 $): There is no significant difference in the length of stay among the three diagnosis categories. - Alternative Hypothesis ($ H_1 $): There is a significant difference in the length of stay among the three diagnosis categories.c. **Decision Rule:** - Decide on the significance level (commonly 0.05) to determine the critical value. Reject the null hypothesis if the calculated F-value is greater than the critical F-value from the F-distribution table.d. **Perform the ANOVA:** - Calculate the necessary values for the ANOVA table.e. **Complete the ANOVA Table:**| Source | SS | df | MS | F ||-----------|----------|-----|-------|------|| Between | 42.67 | 2 | | || Within | | | | || Total | | | | |- Note: Fill in MS (Mean Square) and F-ratio after computing them.f. **Report your ANOVA result

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Answered: 5. A psychologist at a private…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Healthy men aged 21 to 35 were randomly assigned to one of two groups: half received 0.82 grams of alcohol per kilogram of body weight; half received a placebo. Participants were then given 30 minutes to read up to 34 pages of Tolstoy’s War and Peace (beginning at chapter 1, with each page containing approximately 22 lines of text). Every two to four minutes participants were prompted to indicate whether they were “zoning out.” The proportion of times participants indicated they were zoning out was recorded for each subject. The table below summarizes data on the proportion of episodes of zoning out (a) What are the two sample standard deviations? (b) What degrees of freedom does the conservative Option 2 use for two-sample t procedures for these samples? (c) Using Option 2, give a 90% confidence interval for the mean difference between the two groups.
A) Classify the following data as either qualitative data or quantitative data. In addition, classify the quantitative data as discrete or continuous. The number of times that a movement authority is sent to a train from a relay station is recorded for several trains Over a three-week period. The movement authority, which is an electronic transmission, is sent repeatedly until a return signal is received from the train. 1. 2. A physician records the follow-up condition of patients with optic neuritis as improved, unchanged, or worse. The individuals in a sociological study are classified into one of five income classes as follows: low, low to middle Middle, middle to upper, or upper. 3.
ch 11 end. 7: In a bumper test, three test vehicles of each of three types of autos were crashed into a barrier at 5 mph, and the resulting damage was estimated. Crashes were from three angles: head-on, slanted, and rear-end. The results are shown below. Research questions: Is the mean repair cost affected by crash type and/or vehicle type? Are the observed effects (if any) large enough to be of practical importance (as opposed to statistical significance)?
You conducted additional studies with these men and found the following: The RR for those who drank one drink per day was 1.50 (95% CI:1.32-1.67) in comparison to the abstainers. For those men who drank three or more drinks per day the RR compared to the abstainers was 4.20 (95% CI 2.68-5.85). Which one of Hill’s criteria does this illustrate? Explain.
Mr. James, president of Daniel-James Financial Services, believes that there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, he gathered the following information from a sample of clients for the last month. Let X represent the number of times that the client was contacted and Y represent the valye of sales ($1000) for each client sampled. Number of Contacts (X) Sales ($1000) 14 24 12 14 20 28 16 30 23 30 b) compute the correlation coefficient and coeffcient of determination. Interpret the coefficients.
5. A recent study indicates that simply giving college students (n-30) a pedometer can result in increased walking (Jackson & Howton, 2008). Students were given pedometers for a 12-week period, and asked to record the average number of steps per day during weeks 1, 6, and 12. a. Which variables are described in this scenario and what are their scales of measurement? b. Which test should you use?
You also conducted a review of the research literature and found that similar studies examining the relationship between alcohol consumption and liver cancer found the following: Smithson et al. RR 3.3 (95% CI:1.95-5.20) Ribera et al. RR 2.1 (95% CI:1.17-3.33) Gonzalez et al. RR 2.75 (95% CI 2.26-3.45) Which one of Hill’s criteria does this illustrate? Explain.
1. A dog groomer is often asked if small dogs bark more than larger dogs. To test this, he logs the number of separate barking episodes per day for three size dogs: small, medium, and large. In a separate file you will find the number of barking episodes for 12 dogs. On average, small dogs barked the most Mean: 7.25 On average, medium sized dogs barked the least Mean: 2.75 A. Do the different size dogs bark a significantly different number of times? Test with an α = 0.05. B. If appropriate, use Tukey’s HSD post hoc test and report where the differences are. If inappropriate, state why. C. Calculate and interpret the effect size.
A health psychologist investigated dietary differences between middle class Hispanic and Black women. One dietary practice examined was the consumption of mutagen-containing meats (defined as smoked, grilled, or fried meat). Based on the contingency table below, is there a reason to believe there a difference between women with respect to their consumption of mutagen-containing meat servings per day. What can be concluded with an a of 0.01? Ethnicity Мeat Hispanic Black 0-1 68 75 serving 2-3 45 19 serving 4+ 11 37 serving a) Select and compute the appropriate statistic. ---Select--- %3D b) Obtain/compute the appropriate values to make a decision about Ho. p-value ; Decision: ---Select--- c) Compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and/or select "na" below. Effect Size = ; Magnitude: ---Select-- d) Make an interpretation based on the results. O There is a significant negative relationship between middle class and food preference.…

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