Everything you need to know for Stats Test II Term Test 2

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Author:
Jamie_Bee
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279439
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Everything you need to know for Stats Test II Term Test 2
Updated:
2014-07-23 20:02:42
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BobBector IntroStatsII
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Title says it all.
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  1. Assumptions for using (1-)100% Confidence Interval for two populations when σ is known
    • 1) Two samples are random & independent
    • 2) Both samples came from two independent, normal populations
    • 3) σ121) and σ222) are known
  2. Assumptions for using (1-)100% Confidence Interval for t-distribution
    • 1) Two samples are random & independent
    • 2) Both samples came from normal populations
    • 3) σ121) and σ222) are unknown but equal
  3. The point estimator for the unknown common variance σ2 is
    sp2
  4. To test the hypothesis about unknown p1 & p2
    we combine the information given in both samples to compute estimated variance of p1 & p2
  5. To construct a (1-)100% confidence interval for p1 and p2
    we do NOT combine the information contained in both samples to compute the estimated variance
  6. A goodness of fit test
    Tests the Null Hypothesis that the observed frequencies follow a pattern or theoretical distribution. The test is goodness-of-fit because the hypothesis tested is how good the observed frequencies fit a given pattern
  7. The -squared goodness of fit test
    used to test whether of not the sampled multinomial data is in agreement with the hypothesized distribution. OR Testing 3 or more unknown population proportions.
  8. In a goodness of fit test, when is the Null Hypothesis rejected?
    A good agreement between the observed and expected frequencies results in a small value of . A perfect agreement would result in =0. Thus the Null Hypothesis is rejected if is large [upper tail test]
  9. For tests of Independence between Criterion A and B...
    Ho: The two criteria A&B are
    INDEPENDENT or not related (HoI)
  10. For tests of Independence between Criterion A and B...
    HA: The two criteria A&B are
    DEPENDENT or related (HAD)
  11. For tests of independence, is
  12. For tests of Independence, Eij=
  13. For a 2x2 Contingency table, testing for independence for two criteria is equivalent to testing
    H0: P1=P2 vs HA:P1≠P2
  14. Test of Homogeneity
    • A test of homogeneity involves testing the
    • H0: the proportions of elements with certain characteristics in two or more different populations are the same
    • vs
    • HA: the proportions are not the same

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