Select appropriate variables of your choice (not an example from lab handout or PP slides) to conduct an ANOVA test to investigate a relationship between two variables (at alpha/sig level of 0.05).Obtain descriptive information and report various numbers (mean and standard deviation) to discuss what the table tells you about the differences between groups and possible relationship in a few sentences.Write out the null and research hypothesis.Report the F and sig values to make a decision.Write a conclusion/interpretation.Insert your output (descriptive table and ANOVA table). DescriptivesAge group of respondent (groups of 10)95% Confidence Interval forMeanMeanStd. DeviationStd. ErrorLower BoundUpper BoundMinimumMaximumEnglish only9144.101.838.0613.984.2117French only2553.991.771.1113.774.2117Other languages1932.841.630.1172.613.0717Multiple languages1143.611.665.1563.303.9117Total14763.871.835.0483.783.9717ANOVAAge group of respondent (groups of 1 0)Sum ofSquaresdfMean SquareFSig.Between Groups262.871387.62427.426<.001Within Groups4702.94114723.195Total4965.8121475

The descriptive information has given in table (1). In which the mean of variables 'English only',…

Answered: Select appropriate variables of your…

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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Select appropriate variables of your choice (not an example from lab handout or PP slides) to conduct an ANOVA test to investigate a relationship between two variables (at alpha/sig level of 0.05).

Obtain descriptive information and report various numbers (mean and standard deviation) to discuss what the table tells you about the differences between groups and possible relationship in a few sentences.
Write out the null and research hypothesis.
Report the F and sig values to make a decision.
Write a conclusion/interpretation.
Insert your output (descriptive table and ANOVA table).

Descriptives
Age group of respondent (groups of 10)
95% Confidence Interval for
Mean
Mean
Std. Deviation
Std. Error
Lower Bound
Upper Bound
Minimum
Maximum
English only
914
4.10
1.838
.061
3.98
4.21
1
7
French only
255
3.99
1.771
.111
3.77
4.21
1
7
Other languages
193
2.84
1.630
.117
2.61
3.07
1
7
Multiple languages
114
3.61
1.665
.156
3.30
3.91
1
7
Total
1476
3.87
1.835
.048
3.78
3.97
1
7
ANOVA
Age group of respondent (groups of 1 0)
Sum of
Squares
df
Mean Square
F
Sig.
Between Groups
262.871
3
87.624
27.426
<.001
Within Groups
4702.941
1472
3.195
Total
4965.812
1475

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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