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Statistical Significance
                       and p values




Thursday, 31 May 2012
What is statistical
                           significance?

               • In any experiment there is going to be
                        difference in the results obtained from the
                        experimental and control groups.
               • Statistical significance tells us the difference
                        is real on not just due to chance.




Thursday, 31 May 2012
Tests of Significance

               • Tests of statistical significance can be used to
                        determine the extent to which chance has
                        operated
               • The significance level of any difference is
                        called p value, with p standing for
                        probability.



Thursday, 31 May 2012
Setting p value

                 An acceptable p value for results is established before the experiment
                 is conducted. In general general, psychologists accept a level of p <
                 (equal to or less than) 0.05 as being statistically significant in order to
                 conclude that results are due to the influence of the independent
                 variable and not to chance.

                 A 0.05 significance level occurs when the probability of chance is 5 or
                 fewer times in 100 repetitions of the research




Thursday, 31 May 2012
Practice Question

            Question 22
            In an experiment looking at sex differences in working memory, which of the following is most
            probably a significant result?

            A.   p < 0.01
            B.   p < 0.1
            C.   p > 0.05
            D.   p > 0.01




Thursday, 31 May 2012
Answer

            Question 22
            In an experiment looking at sex differences in working memory, which of the following is most
            probably a significant result?
            A. p < 0.01
            B. p < 0.1
            C. p > 0.05
            D. p > 0.01

            Students who chose option C apparently fixated on the figure ‘0.05’, and failed to recognise the
            significance of the inequality sign – in this case, ‘greater than’.




Thursday, 31 May 2012
Practice

            Question 22

            A psychologist tests memory recall under two different conditions. A test of significance finds
            that p > 0.05. This means that there is a

            A. less than 5 in 100 chance that the results are due to chance.
            B. greater than 5 in 100 chance that the results are due to chance.
            C. less than 5% difference between the results of the two conditions tested.
            D. greater than 5% difference between the results of the two conditions tested.




Thursday, 31 May 2012
Answer

                 Question 22

            A psychologist tests memory recall under two different conditions.
            A test of significance finds that p > 0.05. This means that there is a
            A. less than 5 in 100 chance that the results are due to chance.
            B. greater than 5 in 100 chance that the results are due to chance.
            C. less than 5% difference between the results of the two conditions tested.
            D. greater than 5% difference between the results of the two conditions tested.




Thursday, 31 May 2012

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Lesson p values

  • 1. Statistical Significance and p values Thursday, 31 May 2012
  • 2. What is statistical significance? • In any experiment there is going to be difference in the results obtained from the experimental and control groups. • Statistical significance tells us the difference is real on not just due to chance. Thursday, 31 May 2012
  • 3. Tests of Significance • Tests of statistical significance can be used to determine the extent to which chance has operated • The significance level of any difference is called p value, with p standing for probability. Thursday, 31 May 2012
  • 4. Setting p value An acceptable p value for results is established before the experiment is conducted. In general general, psychologists accept a level of p < (equal to or less than) 0.05 as being statistically significant in order to conclude that results are due to the influence of the independent variable and not to chance. A 0.05 significance level occurs when the probability of chance is 5 or fewer times in 100 repetitions of the research Thursday, 31 May 2012
  • 5. Practice Question Question 22 In an experiment looking at sex differences in working memory, which of the following is most probably a significant result? A. p < 0.01 B. p < 0.1 C. p > 0.05 D. p > 0.01 Thursday, 31 May 2012
  • 6. Answer Question 22 In an experiment looking at sex differences in working memory, which of the following is most probably a significant result? A. p < 0.01 B. p < 0.1 C. p > 0.05 D. p > 0.01 Students who chose option C apparently fixated on the figure ‘0.05’, and failed to recognise the significance of the inequality sign – in this case, ‘greater than’. Thursday, 31 May 2012
  • 7. Practice Question 22 A psychologist tests memory recall under two different conditions. A test of significance finds that p > 0.05. This means that there is a A. less than 5 in 100 chance that the results are due to chance. B. greater than 5 in 100 chance that the results are due to chance. C. less than 5% difference between the results of the two conditions tested. D. greater than 5% difference between the results of the two conditions tested. Thursday, 31 May 2012
  • 8. Answer Question 22 A psychologist tests memory recall under two different conditions. A test of significance finds that p > 0.05. This means that there is a A. less than 5 in 100 chance that the results are due to chance. B. greater than 5 in 100 chance that the results are due to chance. C. less than 5% difference between the results of the two conditions tested. D. greater than 5% difference between the results of the two conditions tested. Thursday, 31 May 2012