Question 1 - Need output for this scenario. It is determined that a Repeated measures ANOVA is needed with post hoc test results. And a bar chart is needed for this output.Question 2 - Present the results. This includes a statistical notation. The write-up also needs interpretation. If significant, state how. If it is not significant, what does that mean in layman’s terms? A psychologist at a private mental health facility was asked to determine whether there was a clear differencein the length of stay for patients with different categories of diagnosis. Looking at the last seven patients ineach of the three major categories, the results (in terms of weeks of stay) were as follows. Using the databelow, test whether the length of stay for patients vary based on category of diagnosis.Diagnosis CategoryAffective DisordersCognitive DisordersDrug-related Conditions71286810591261110911951011912a160

Given Information: Consider the given data: Affective Disorders Cognitive Disorders Drug-related…

Answered: A psychologist at a private mental…

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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Question 1 - Need output for this scenario. It is determined that a Repeated measures ANOVA is needed with post hoc test results. And a bar chart is needed for this output.

Question 2 - Present the results. This includes a statistical notation. The write-up also needs interpretation. If significant, state how. If it is not significant, what does that mean in layman’s terms?

A psychologist at a private mental health facility was asked to determine whether there was a clear difference
in the length of stay for patients with different categories of diagnosis. Looking at the last seven patients in
each of the three major categories, the results (in terms of weeks of stay) were as follows. Using the data
below, test whether the length of stay for patients vary based on category of diagnosis.
Diagnosis Category
Affective Disorders
Cognitive Disorders
Drug-related Conditions
7
12
8
6
8
10
5
9
12
6
11
10
9
11
9
5
10
11
9
12
a
160

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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