Answered: he "t(215)" column gives details of…

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

The "t(215)" column gives details of the specific hypothesis testing procedure used in this study called a t test. In this study, the t test was used to compare pet owners with nonowners on various measures of well-being, personality, and attachment style. Considering just the results for the personality factors, explain what these results mean to a person who has never had a course in statistics. (Focus on the meaning of the results in terms of the general logic of hypothesis testing and statistical significance.)

Summary information
Mean Differences Between Pet Owners and Nonowners on Well-Being, Personality, and Attachment Style
Measures in Study
Variable
Well-being measures
Depression
Loneliness
Self-esteem
Physical illness and
symptoms
Subjective happiness
Exercise and fitness
Personality factors
Openness
Agreeableness
Conscientiousness
Extraversion
Neuroticism
Owners
Attachment style endorsement
Secure
Fearful
Preoccupied
Dismissing
+ p < .08. * p<.05. ** p < .01
Print
30.04
38.61
34.26
3.94
5.19
4.37
4.03
3.94
4.05
3.56
2.16
4.65
3.14
2.52
3.66
Nonowners
31.73
41.64
32.22
4.21
5.07
3.93
3.98
3.91
3.71
3.26
2.23
4.46
3.69
3.05
3.11
Done
t(215)
1.29 +
1.81*
2.57
0.45
0.68
2.66
0.83
1.03
3.52**
2.13*
0.69
0.42
1.76+
1.91 +
2.62**
X

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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