Did the researcher violate the homogeneity of the variance and why or why not? Where the results of the ANOVA statistically significant, why or why not? Is there enough evidence to conclude that at least of it the means is statistically significant and which group is it? Should a post hoc test be done on this data. Write the results in APA format. How many levels are there in the factor of this study? 3A researcher believes that perceived difficulty of a math problem will effect the number of correctanswers person scores on a test. Ten easy math problems are created and 15 participants arerandomly assigned to one of three groups; each group receives the same math problems but are toldthat they vary in difficulty. Participants in Level 1 are told the math problems are easy, participants inLevel 2 are told the problems are of medium difficulty and participants in Level 3 are told the problemsare difficult. The number of correct problems is reported for each group. Each group had 15 minutesto solve all 10 problems.Use a = .05 and answer the following questions based on the SPSS output below.DescriptivesNumber of Correct ProblemsEasy ProblemsMedium Difficulty ProblemsDifficulty ProblemsTotalNumber of CorrectProblemsNumber of Correct ProblemsSum ofSquaresBetween GroupsWithin GroupsTotalPost Hoc Tests$4N63.33384.000147.33355515Based on MeanBased on MedianBased on Median and withadjusted dfBased on trimmed meanTests of Homogeneity of VariancesLeveneStatistic%5ANOVAdfBrownMean212148,006.003.005.67Std. Deviation2.9153.1621.5813.244Mean Square31.6677.000.800.800.800.800F4.524|Std. Error1.3041.414.707.838df1Sig.2222.034df212129.52412Sig..472.472.477.472The(6 3A researcher believes that perceived difficulty of a math problem will effect the number of correctanswers person scores on a test. Ten easy math problems are created and 15 participants arerandomly assigned to one of three groups; each group receives the same math problems but are toldthat they vary in difficulty. Participants in Level 1 are told the math problems are easy, participants inLevel 2 are told the problems are of medium difficulty and participants in Level 3 are told the problemsare difficult. The number of correct problems is reported for each group. Each group had 15 minutesto solve all 10 problems.Use a = .05 and answer the following questions based on the SPSS output below.DescriptivesNumber of Correct ProblemsEasy ProblemsMedium Difficulty ProblemsDifficulty ProblemsTotalNumber of CorrectProblemsNumber of Correct ProblemsSum ofSquaresBetween GroupsWithin GroupsTotalPost Hoc Tests$4N63.33384.000147.33355515Based on MeanBased on MedianBased on Median and withadjusted dfBased on trimmed meanTests of Homogeneity of VariancesLeveneStatistic%5ANOVAdfBrownMean212148,006.003.005.67Std. Deviation2.9153.1621.5813.244Mean Square31.6677.000.800.800.800.800F4.524|Std. Error1.3041.414.707.838df1Sig.2222.034df212129.52412Sig..472.472.477.472The(6

Answered: Did the researcher violate the…

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

Did the researcher violate the homogeneity of the variance and why or why not? Where the results of the ANOVA statistically significant, why or why not? Is there enough evidence to conclude that at least of it the means is statistically significant and which group is it? Should a post hoc test be done on this data. Write the results in APA format. How many levels are there in the factor of this study?

3
A researcher believes that perceived difficulty of a math problem will effect the number of correct
answers person scores on a test. Ten easy math problems are created and 15 participants are
randomly assigned to one of three groups; each group receives the same math problems but are told
that they vary in difficulty. Participants in Level 1 are told the math problems are easy, participants in
Level 2 are told the problems are of medium difficulty and participants in Level 3 are told the problems
are difficult. The number of correct problems is reported for each group. Each group had 15 minutes
to solve all 10 problems.
Use a = .05 and answer the following questions based on the SPSS output below.
Descriptives
Number of Correct Problems
Easy Problems
Medium Difficulty Problems
Difficulty Problems
Total
Number of Correct
Problems
Number of Correct Problems
Sum of
Squares
Between Groups
Within Groups
Total
Post Hoc Tests
$
4
N
63.333
84.000
147.333
5
5
5
15
Based on Mean
Based on Median
Based on Median and with
adjusted df
Based on trimmed mean
Tests of Homogeneity of Variances
Levene
Statistic
%
5
ANOVA
df
Brown
Mean
2
12
14
8,00
6.00
3.00
5.67
Std. Deviation
2.915
3.162
1.581
3.244
Mean Square
31.667
7.000
.800
.800
.800
.800
F
4.524
|
Std. Error
1.304
1.414
.707
.838
df1
Sig.
2
2
2
2
.034
df2
12
12
9.524
12
Sig.
.472
.472
.477
.472
The
(
6

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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