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Chapter 7 cont.
t-test for Dependent Means
Review
• Last class we learned:
  – t-test – hypothesis testing where the population
    ________________- is unknown
  – t-test for ______________- One sample vs
    population
  – Went through all the steps –
     • Estimate new pop variance
     • Estimate new DofM
     • Use new type of sig. test (t-score)
t-test for Dependent Means
• t-test for Dependent Means – uses
  ___________________for each person and pop
  _____________ is still not known; want to see
  the ____________ in scores for
  ___________________________.
• This t-test uses a
  __________________________design – each
  participant is measured
  ________________, usually
  ______________________some
  “____________________”
• The means are dependent on each
  other, because they are both from the same
Calculation
• There are 2 differences between t-tests for
  single samples and t-tests for dep. Means
  – 1. __________________________– need to
    subtract scores to get 1 score
     • _________ score _____________ score = __________
       (the difference) score
  – 2. Assume new ________________– since we are
    now using _____________________scores, and
    the null hypothesis is that there is ______
    difference between scores, we assume that the
    _____________________is now __
Example
• Hypothesis: Statistics students who get help from
  statistics tutors will have ___________ GPAs then
  statistics students in general.
• 1. Begin with stating what your two populations are:
   – _____________– Students who went to stats tutors’ GPAs
   – _____________– All stats students’ GPAs
• 2. Next, state your hypotheses:
   – __________________– there is_____difference between
     students who went to stats tutors and all stats students.
   – ___________________– there _____ a difference
     between students who went to stats tutors and all stats
     students.
• 3. Goal:
   – What is the probability of getting certain results, if there
     is no difference
• 4. Determine probability:
  – _________


• 5. Determine your sample’s t-score (if sample
  mean difference score is ___, and DofM SD is __)
      t = M-u / Sm   = _________ = ____ = __

• 6. Decide whether to reject or accept the null
  hypothesis with a sample size of ____
df = ____
probability = ___
One or two tailed = ____
t-score = ___
Cut-off value = ____
  _________

                    .05



                  1.71    2
• Can also have 2 scores from
  __________people – if you want to examine
  ________________, _________, etc
• Called a ________________________
Assumptions
• Conditions/ __________________ for
  hypothesis testing
• We have already talked about
  ________________ (ch 14)
  – in order to make assumptions about our data
   (the _________ is just like the pop;
   _________________ to a population), we must
   always assume the ________________ to be
   ______________, and make our ____________as
   normal as possible
Assumptions cont.
• We will learn more assumptions later. . . BUT
• Assumptions are commonly
  ____________(data usually isn’t normal), so
  we make corrections (such as ___________
  estimates) to help with this problem
• T-test is very ____________ – good at
  “_________________” for violated
  assumptions, i.e. non-normal populations and
  samples

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General Psych, Ch. 7

  • 1. Chapter 7 cont. t-test for Dependent Means
  • 2. Review • Last class we learned: – t-test – hypothesis testing where the population ________________- is unknown – t-test for ______________- One sample vs population – Went through all the steps – • Estimate new pop variance • Estimate new DofM • Use new type of sig. test (t-score)
  • 3. t-test for Dependent Means • t-test for Dependent Means – uses ___________________for each person and pop _____________ is still not known; want to see the ____________ in scores for ___________________________. • This t-test uses a __________________________design – each participant is measured ________________, usually ______________________some “____________________” • The means are dependent on each other, because they are both from the same
  • 4. Calculation • There are 2 differences between t-tests for single samples and t-tests for dep. Means – 1. __________________________– need to subtract scores to get 1 score • _________ score _____________ score = __________ (the difference) score – 2. Assume new ________________– since we are now using _____________________scores, and the null hypothesis is that there is ______ difference between scores, we assume that the _____________________is now __
  • 5. Example • Hypothesis: Statistics students who get help from statistics tutors will have ___________ GPAs then statistics students in general. • 1. Begin with stating what your two populations are: – _____________– Students who went to stats tutors’ GPAs – _____________– All stats students’ GPAs • 2. Next, state your hypotheses: – __________________– there is_____difference between students who went to stats tutors and all stats students. – ___________________– there _____ a difference between students who went to stats tutors and all stats students. • 3. Goal: – What is the probability of getting certain results, if there is no difference
  • 6. • 4. Determine probability: – _________ • 5. Determine your sample’s t-score (if sample mean difference score is ___, and DofM SD is __) t = M-u / Sm = _________ = ____ = __ • 6. Decide whether to reject or accept the null hypothesis with a sample size of ____
  • 7. df = ____ probability = ___ One or two tailed = ____ t-score = ___ Cut-off value = ____ _________ .05 1.71 2
  • 8. • Can also have 2 scores from __________people – if you want to examine ________________, _________, etc • Called a ________________________
  • 9. Assumptions • Conditions/ __________________ for hypothesis testing • We have already talked about ________________ (ch 14) – in order to make assumptions about our data (the _________ is just like the pop; _________________ to a population), we must always assume the ________________ to be ______________, and make our ____________as normal as possible
  • 10. Assumptions cont. • We will learn more assumptions later. . . BUT • Assumptions are commonly ____________(data usually isn’t normal), so we make corrections (such as ___________ estimates) to help with this problem • T-test is very ____________ – good at “_________________” for violated assumptions, i.e. non-normal populations and samples