Lets Have a Cup of Tea - PowerPoint PPT Presentation

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Lets Have a Cup of Tea

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21. Inference for One Mean. the t statistic for use when s is not known. ... Any difference on the mean of eating attitude scores ... – PowerPoint PPT presentation

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Title: Lets Have a Cup of Tea


1
Lets Have a Cup of Tea!
  • Minjuan Wang
  • ED 690

2
T test Video
  • 21. Inference for One Mean
  • the t statistic for use when s is not known.
    Emphasis is on paired samples and the t
    confidence test and interval..
  • 22. Comparing Two Means
  • How to recognize a two-sample problem and how to
    distinguish such problems from one- and
    paired-sample situations are the subject of this
    program.

3
Paired Samples T Test (T for one)
  • Inference for One Mean
  • http//learner.org/resources/series65.html?popyes
    vodid328482pid159
  • Watch minutes 1230 to 2058
  • Paired t test on neutralsweet
  • Taste evaluation
  • One right after it is made
  • One after 4 months
  • H0 no differences in sweetness
  • Ha one-tailed test (there are differences)
  • Before and after- sweetness values from each
    panelists
  • Calculate p (probability of chance)

4
Independent Samples (Tea for Two)
  • Comparing Two Means
  • http//learner.org/resources/series65.html?popyes
    vodid328482pid159
  • Do women make more money after participating in
    the Options program in Baltimore? (a 3-year
    study)
  • Watch the beginning 10-11 minutes
  • N1398
  • The dataset will be too large for us to practice
    in class.
  • Pay attention to the t calculation on video

5
  • T(ea) for One (flow chart p. 208 of Salkind)
  • T test for dependent samples (paired t test)
  • To test hypothesis
  • Examine changes between one group of participant
    (or two matched pairs) on one or more variables
  • To compare if there is significant change in the
    means of the variables studied
  • Example
  • (Not significant) attitude change of 21 youth
    before and after their participation in
    Expeditions
  • Significant change in self-confidence and
    competence
  • 10 patients going through a 2-hour psychotherapy


6
Types of T(ea) for One
  • Repeated measures
  • Matched pairs
  • Two groups matched on critical variables
  • Example
  • E-classroom on fire
  • Compare the occurring frequency of flaming and
    buffoonery in traditional and E classrooms
  • Content analysis of discussions (counting)
  • Which test to use?

7
Interpretation (Results)
  • Level of significance
  • Indicates how much the differences found are due
    to chance rather than intervention
  • Usually set at 5 (a 0.05)
  • Shown as Confidence interval 95
  • Attitudinal gains (change)?
  • P gt 0.05
  • Learning Gains?
  • P lt0.05

8
T(ea) for Two
  • Flow chart p. 194 of Salkind)
  • T test for independent samples (unpaired t)
  • Test for a difference
  • Examine differences between two groups of
    participants on one or more variables
  • To compare if there is significant difference
    between the means of the variables studied
  • Examples
  • Mid-term scores of class A and class B
  • User engagement in two types of multimedia
    training systems
  • The article on user engagement


9
Type of T(ea) for Two
  • Archetypal experiment
  • Randomly selected and assigned to 2 groups
  • Anti-depression drug versus placebo
  • T to compare mean differences on a depression
    measurement scale
  • In Situ design
  • Pre-assigned to 2 groups by nature or God
  • Insomnia on work efficiency
  • Gender and

10
  • T(ea) for Two
  • Is there significant difference in the intensity
    of eating disorder across different cultures
  • 297 Australian-gt249 Indian University students
  • Eating Attitudes Test and Goldfarb Fear of Fat
    Scale
  • To measure Intensity of eating disorder
  • Run t test for independent samples (unpaired
    t-test)
  • Any difference on the mean of eating attitude
    scores
  • Any difference on the mean of Fear of Fat scores

11
Interpretation
  • Results
  • Descriptive
  • Indian students scored higher on both of the
    tests (higher intensity)
  • Is the mean difference statistically significant?
  • Take it to unpaired t test for independent
    samples
  • T (eating attitude) -4.19, p lt .0001
  • T (fear of fat) -7.64, P lt 0.0001

12
Conclusion
  • Judge by P value
  • The probability that the difference is due to
    chance
  • P lt 0.0001 (very small chance that the
    differences are due to things other than group
    membership)
  • There are significant differences between
    Australian and Indian students in their intensity
    of eating disorder.
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