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Learning Objectives:

•Understand the nature of probability
• Understand the role of probability in statistical testing
• Describe and choose the level of significance
• Explain the difference between type 1 + type 2 errors.


                        Inferential Statistics


Outcomes:
ALL – Complete own MEMORABLE notes
using mnemonics / mindmaps on each
objective.                                     Key words you need definitions for:

MOST – Complete activities set                 • Probability
                                               • Level of significance
SOME – Complete Tea Test problem by            • Type 1 error
end of the lesson                              •Type 2 error
Inferential Statistics Tests



    Make inferences about the
populations from which the samples
             are drawn
Descriptive Statistics vs. Inferential Statistics
                          Allow us to say whether
    Allows us to draw     difference is significant
       conclusions
  Through use of graphs




                                       This difference
                                        Is significant
Inferential Stats

      Watch the clip – the tea test.

      Task:

      Why are inferential statistical tests
      needed?

      (Also see Pg 286)
Probability
   How likely is it that something will happen?
A number between 0 and 1
0 = something DEFINITELY will NOT happen
1 = something DEFINITELY will happen




                NUMBER OF PARTICULAR OUTCOMES   Probability is
PROBABILITY =                                   expressed as
                NUMBER OF POSSIBLE OUTCOMES     “p”

  Task:
  What is the probability of a coin
  landing heads up?
  How would you express this as a
  decimal?
Probability
Inferential tests use probability to ascertain the
likelihood that a pattern of results could have
arisen by chance.

If the probability of the results occurring by
chance is below a certain level we assume these
results to be significant
Chance




We can state how certain
we are the results are not          Real
     due to chance               difference
Key questions for Psychologists…
•How far does what we have found in our sample reflect the
general population?

•Could differences shown in our test have occurred by chance?


E.g. In a study of 10 yr old boys a positive correlation is found
between time spent playing aggressive computer games and
observed levels of aggression?

Is this the case for all 10 yr old boys?
Inferential tests will tell us how probable it is that the correlation
could have occurred by chance.
Watch the clip – P Values
Task:

Also referring to “Chance” pg 286


What does a p value of p ≤ 0.05 mean?
Explain this both as a % but also what it tells us about the results of the study /
correlation.
P-levels/Significance Levels


                 P ≤0.10
      C
      H          P ≤0.05
      A
      N          P ≤0.01
      C
      E          P ≤0.001


   We can also write these as 10%, 5%, 1%, 0.1%
Significant?
If our test is significant we can
Reject our null hypothesis and accept our
alternative/experimental hypothesis

If our test is not significant we can
Accept our null hypothesis and reject our
alternative/experimental hyp
           “If P is low…null must go.”
Type 1 and Type 2 Errors
Type 1 error

Rejecting a null hypothesis when we should not
                 P level too tight




                           Type 2 error

                           Accepting a null hypothesis when we should not
                                           P level too loose
Errors
Throwing a coin 10 times there is a 17%
probability of getting a head

If we set our p level too low it looks like there is
phenomena there is not

Throwing a coin 100 times there is a 0.005%
chance of getting a head

If we set it too high we may miss phenomena
Why do we make errors?
Type 1 – if we allow ourselves a p=.05 sig level
then we allow yourself a 1 in 20 chance of
making an error

Type 2 – too stringent a p level means we may
miss something
Watch the Type 1+2 errors video

Task

In your own terms explain the
difference between a type 1 and type 2
error
Refer to Pg 287 Type 1+2 errors

Task:
Why might researchers choose to use p≤0.01 in preference to p≤0.05?
Finished?
•Check in with Mr Beech.

•Re-vsit any clips you are less certain on.

•Re-visit and test yourself on your schizophrenia cue cards.

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Inferential stats intro part 1

  • 1. Learning Objectives: •Understand the nature of probability • Understand the role of probability in statistical testing • Describe and choose the level of significance • Explain the difference between type 1 + type 2 errors. Inferential Statistics Outcomes: ALL – Complete own MEMORABLE notes using mnemonics / mindmaps on each objective. Key words you need definitions for: MOST – Complete activities set • Probability • Level of significance SOME – Complete Tea Test problem by • Type 1 error end of the lesson •Type 2 error
  • 2. Inferential Statistics Tests Make inferences about the populations from which the samples are drawn
  • 3. Descriptive Statistics vs. Inferential Statistics Allow us to say whether Allows us to draw difference is significant conclusions Through use of graphs This difference Is significant
  • 4. Inferential Stats Watch the clip – the tea test. Task: Why are inferential statistical tests needed? (Also see Pg 286)
  • 5. Probability How likely is it that something will happen? A number between 0 and 1 0 = something DEFINITELY will NOT happen 1 = something DEFINITELY will happen NUMBER OF PARTICULAR OUTCOMES Probability is PROBABILITY = expressed as NUMBER OF POSSIBLE OUTCOMES “p” Task: What is the probability of a coin landing heads up? How would you express this as a decimal?
  • 6. Probability Inferential tests use probability to ascertain the likelihood that a pattern of results could have arisen by chance. If the probability of the results occurring by chance is below a certain level we assume these results to be significant
  • 7. Chance We can state how certain we are the results are not Real due to chance difference
  • 8. Key questions for Psychologists… •How far does what we have found in our sample reflect the general population? •Could differences shown in our test have occurred by chance? E.g. In a study of 10 yr old boys a positive correlation is found between time spent playing aggressive computer games and observed levels of aggression? Is this the case for all 10 yr old boys? Inferential tests will tell us how probable it is that the correlation could have occurred by chance.
  • 9. Watch the clip – P Values Task: Also referring to “Chance” pg 286 What does a p value of p ≤ 0.05 mean? Explain this both as a % but also what it tells us about the results of the study / correlation.
  • 10. P-levels/Significance Levels P ≤0.10 C H P ≤0.05 A N P ≤0.01 C E P ≤0.001 We can also write these as 10%, 5%, 1%, 0.1%
  • 11. Significant? If our test is significant we can Reject our null hypothesis and accept our alternative/experimental hypothesis If our test is not significant we can Accept our null hypothesis and reject our alternative/experimental hyp “If P is low…null must go.”
  • 12. Type 1 and Type 2 Errors Type 1 error Rejecting a null hypothesis when we should not P level too tight Type 2 error Accepting a null hypothesis when we should not P level too loose
  • 13. Errors Throwing a coin 10 times there is a 17% probability of getting a head If we set our p level too low it looks like there is phenomena there is not Throwing a coin 100 times there is a 0.005% chance of getting a head If we set it too high we may miss phenomena
  • 14. Why do we make errors? Type 1 – if we allow ourselves a p=.05 sig level then we allow yourself a 1 in 20 chance of making an error Type 2 – too stringent a p level means we may miss something
  • 15. Watch the Type 1+2 errors video Task In your own terms explain the difference between a type 1 and type 2 error
  • 16. Refer to Pg 287 Type 1+2 errors Task: Why might researchers choose to use p≤0.01 in preference to p≤0.05?
  • 17. Finished? •Check in with Mr Beech. •Re-vsit any clips you are less certain on. •Re-visit and test yourself on your schizophrenia cue cards.