Intro to Statistics - Pagano

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Anonymous
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113810
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Intro to Statistics - Pagano
Updated:
2011-11-01 20:59:23
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Stats Statistics Math Hypothesis testing sign test
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Intro to Stats sign test and hypothesis testing
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  1. What is Hypothesis Testing
    Researcher draws inferences regarding a hypothesis about a population.
  2. Describe Alternative Hypothesis
    the hypothesis that claims that the effect on the dependent variable is due to the independant variable.
  3. Describe Null Hypothesis
    Whatever effects there are on the dependent variable are NOT due to the independent variable but are due to chance.

    If the NULL is FALSE the alterantive is TRUE
  4. Alpha Level
    The level to which a researcher limits the probability of rejecting the null hypothesis when it is true.

    (Type 1 Error)
  5. Type 1 Error
    A decision to REJECT the NULL when it is in fact true.

    (results are due to chance, yet you still conclude they are due to the independent variable)
  6. Type 2 Error
    A decision to RETAIN the NULL when it is false.

    (to conclude results are due to chance when they are in fact due to the independent variable)
  7. Significant result
    Null has been rejected and the alternative has been retained.
  8. Steps to Calculate POWER with a SIGN Test
    • 1) Assume Null is true. 50/50
    • Create grid:
    • outcomes
    • sum of outcomes
    • greater than alpha?

    • 2) for each P event use the equivelent Q event
    • on table B locate the Q event at the percentage of 100-preal

    • Add the outcomes percentages
    • IF 2 TAIL double the answer
  9. Factors increasing POWER
    • 1) Increase N
    • 2) as p-real deviates father from .50
    • 3) as alpha increases
    • 4) when we use a 1 tail test (not 2 tail)
  10. Power
    the probability that the results of an experiment will allow the rejection of the null hypothesis if the independent variable is true.
  11. real effect
    an effect that produces significant change in the dependent variable
  12. P -NULL
    the probability of getting a plus with any participant in the sample of an experiment when the independent variable has no effect (ALWAYS .50)
  13. P-REAL
    The probability of getting a plus with any participant in the sample of an experiment when the independent variable has a reall effect.
  14. Sampling distribution of a statistic
    • 1) Gives all the values that the statistic can take
    • 2) Gives the probability of getting each value under the assumption that it resulted from chance alone.
  15. Sampling distribution of the mean
    Gives all the values that the mean can take and the probability of getting each value if the sampling is done at random from a population where the independent variable has no effect
  16. Critical region for rejection of the null hypothesis
    Area under the curve that contains all the values of the statistic taht allow rejection of the null hypothesis
  17. Critical value of a statistic
    the value of the statistic that bounds the critical region
  18. Z-OBT is greater than Z-CRIT
    Reject the null hypothesis
  19. if Z-OBT is less than Z-CRIT
    Retain the Null hypothesis
  20. Z-CRIT 1 tail
    1.645
  21. Z-CRIT 2 tail
    1.96

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