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Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2018 Room 150 Harvill Building 10:00 - 10:50 Mondays, Wednesdays.

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Presentation on theme: "Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2018 Room 150 Harvill Building 10:00 - 10:50 Mondays, Wednesdays."— Presentation transcript:

1 Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2018 Room 150 Harvill Building 10: :50 Mondays, Wednesdays & Fridays. Welcome 10/8/18

2 Alyson Lecturer’s desk Chris Flo Jun Trey Projection Booth Screen
Row A 15 14 Row A 13 3 2 1 Row A Chris Row B 23 20 Row B 19 5 4 3 2 1 Row B Row C 25 21 Row C 20 6 5 1 Row C Row D 29 23 Row D 22 8 7 1 Row D Row E 31 23 Row E 23 9 8 1 Row E Flo Row F 35 26 Row F 25 11 10 1 Row F Row G 35 26 Row G 25 11 10 1 Row G Row H 37 28 27 13 Row H 12 1 Row H 41 29 28 14 1 Row J Row J 13 41 29 Row K 28 14 13 1 Row K Row L 33 25 Row L 24 10 9 1 Row L Row M 21 20 19 Row M 18 4 3 2 1 Row M Row N 15 1 Row P 15 1 Jun Trey table 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Projection Booth Left handed desk Harvill 150 renumbered

3 ..

4 Study Guide posted Schedule of readings
Before next exam (October 12th) Please read chapters in OpenStax textbook Please read Chapters 10, 11, 12 and 14 in Plous Chapter 10: The Representativeness Heuristic Chapter 11: The Availability Heuristic Chapter 12: Probability and Risk Chapter 14: The Perception of Randomness

5 Just study for the Exam on Friday
No homework Just study for the Exam on Friday

6 Lab sessions Labs Prep for Exam 2

7 Hand out z tables

8 z table Formula Normal distribution Raw scores z-scores probabilities
Have z Find raw score Z Scores Have z Find area z table Formula Have area Find z Area & Probability Have raw score Find z Raw Scores

9

10 z table Formula Normal distribution Raw scores z-scores probabilities
Have z Find raw score Z Scores Have z Find area z table Formula Have area Find z Area & Probability Have raw score Find z Raw Scores

11 Always draw a picture! Homework worksheet

12 1 .6800 1 sd 1 sd 28 30 32 Homework worksheet .6800 also fine: 68%
z =-1 z = 1 28 30 32

13 2 .9500 2 sd 2 sd 26 28 30 32 34 Homework worksheet .9500
also fine: 95% also fine: .9500 2 sd 2 sd z =-2 z = 2 26 28 30 32 34

14 3 .9970 3 sd 3 sd 24 26 28 30 32 34 36 Homework worksheet .9970
also fine: 99.7% also fine: .9970 3 sd 3 sd z =-3 z = 3 24 26 28 30 32 34 36

15 4 .5000 24 26 28 30 32 34 36 Homework worksheet .5000 also fine: 50%
z = 0 24 26 28 30 32 34 36

16 5 .4332 24 26 28 30 32 34 36 Homework worksheet z = 33-30 z = 1.5
Go to table .4332 2 5 also fine: % .4332 z = 1.5 24 26 28 30 32 34 36

17 z = 33-30 2 z = 1.5 Go to table .4332 Add area Lower half = .9332 6 also fine: % .9332 .4332 .5000 z = 1.5 24 26 28 30 32 34 36

18 7 .4332 .0668 24 26 28 30 32 34 36 Homework worksheet z = 33-30 = 1.5
= 1.5 Go to table .4332 Subtract from .5000 = .0668 2 7 also fine: 6.68% .4332 .0668 z = 1.5 24 26 28 30 32 34 36

19 z = 29-30 2 = -.5 Go to table .1915 Add to upper Half of curve = .6915 8 also fine: % .6915 .1915 .5000 z = -.5 24 26 28 30 32 34 36

20 = 25-30 2 = -2.5 .4938 Go to table = 31-30 2 =.5 .1915 Go to table = .6853 9 also fine: % .6853 .1915 .4938 z =-2.5 z = .5 24 26 28 30 32 34 36

21 z = 27-30 2 = -1.5 Go to table .4332 Subtract From .5000 = .0668 10 also fine: 6.68% .5000 .0668 .4332 z =-1.5 24 26 28 30 32 34 36

22 z = 25-30 2 = -2.5 Go to table .4938 Add lower Half of curve = .9938 11 also fine: % .9938 .5000 .4938 z =-2.5 24 26 28 30 32 34 36

23 z = 32-30 2 = 1.0 Go to table .3413 Subtract from .5000 = .1587 12 .5000 also fine: % .1587 .3413 z =1 24 26 28 30 32 34 36

24 13 24 26 28 30 32 34 36 50th percentile = median 30 In a normal curve
Median= Mean = Mode z =0 24 26 28 30 32 34 36

25 28 32 14 .6800 1 sd 1 sd z =-1 z = 1 24 26 28 30 32 34 36

26 z table provides area from mean to score
x = mean + z σ = 30 + (.74)(2) = 31.48 77th percentile Find area of interest = .2700 Find nearest z = .74 15 .2700 .7700 z table provides area from mean to score .5000 31.48 z =.74 24 ? 30 36

27 z table provides area from mean to score
13th percentile Find area of interest = .3700 Find nearest z = -1.13 x = mean + z σ = 30 + (-1.13)(2) = 27.74 16 Note: =.50 z table provides area from mean to score .3700 .1300 z =-1.13 27.74 ? 24 30 36

28 Please use the following distribution with
a mean of 200 and a standard deviation of 40. 80 120 160 200 240 280 320

29 17 .6800 1 sd 1 sd 160 200 240 .6800 also fine: 68% also fine: .6826
z =-1 z = 1 160 200 240

30 18 .9500 2 sd 2 sd 120 200 280 .9500 also fine: 95% also fine: .9544
z =-2 z = 2 120 200 280

31 19 .9970 3 sd 3 sd 80 200 320 .9970 also fine: 99.7% also fine: .9974
z =-3 z = 3 80 200 320

32 Go to table = = .75 .2734 40 20 also fine: % .2734 z =.75 80 120 160 200 240 280 320

33 Go to table Add to upper Half of curve z = 40 = -.5 .1915 = .6915 22 also fine: % .5000 .1915 .6915 z =-.5 80 120 160 200 240 280 320

34 z = 40 = 0.9 Go to table .3159 Subtract from .5000 = .1841 23 .3159 also fine: % .1841 z =.9 80 120 160 200 240 280 320

35 z = 40 = -.2 .0793 Go to table = .2881 z = 40 =.55 .2088 Go to table 24 also fine: % .2881 .2088 .0793 z =-.2 z =.55 80 120 160 200 240 280 320

36 = .9693 z = = 1.875 Go to table Add area Lower half .4693 or .4699 = .9699 40 25 Please note: If z-score rounded to 1.88, then percentile = 96.99% also fine: % .9693 .4693 .5000 z =1.875 80 120 160 200 240 280 320

37 Add area Lower half = .0089 = .0087 z = 40 z = 2.375 Go to table .4911 or .4913 26 Please note: If z-score rounded to 2.38, then area = .0087 also fine: 0.89% .4911 .0089 z =2.375 80 120 160 200 240 280 320

38 z = 40 = -1.75 .4599 Add to upper Half of curve Go to table = .9599 27 also fine: % .9599 .5000 .4599 z =-1.75 80 120 160 200 240 280 320

39 40 z = = -1.75 .4599 Subtract from .5000 = .0401 Go to table 28 .0401 .4599 .5000 also fine: 4.01% z =-1.75 80 120 160 200 240 280 320

40 z table provides area from mean to score
x = mean + z σ = (2.33)(40) = 293.2 99th percentile Find area of interest = .4900 Find nearest z = 2.33 29 .4900 .9900 z table provides area from mean to score .5000 293.2 z =2.33 80 ? 120 160 200 240

41 z table provides area from mean to score
33rd percentile Find area of interest = .1700 Find nearest z = .44 x = mean + z σ = (-.44)(40) = 182.4 30 z table provides area from mean to score Note: =.50 .3300 .1700 182.4 z =-.44 ? 80 200 240 280 320

42 z table provides area from mean to score
40th percentile Find area of interest = .1000 Find nearest z = -.25 x = mean + z σ = (-.25)(40) = 190 31 z table provides area from mean to score Note: =.50 190 .1000 .4000 z =-.25 ? 80 200 240 280 320

43 z table provides area from mean to score
67th percentile Find area of interest = .1700 Find nearest z = .44 x = mean + z σ = (.44)(40) = 217.6 32 z table provides area from mean to score .1700 z =.44 80 200 217.6 ? 320

44 Please hand in Homework worksheet Alyson Lecturer’s desk Chris Flo Jun
Screen Screen Alyson Lecturer’s desk Row A 15 14 Please hand in Homework worksheet Row A 13 3 2 1 Row A Chris Row B 23 20 Row B 19 5 4 3 2 1 Row B Row C 25 21 Row C 20 6 5 1 Row C Row D 29 23 Row D 22 8 7 1 Row D Row E 31 23 Row E 23 9 8 1 Row E Flo Row F 35 26 Row F 25 11 10 1 Row F Row G 35 26 Row G 25 11 10 1 Row G Row H 37 28 Row H 27 13 12 1 Row H 41 29 28 14 Row J 13 1 Row J 41 29 Row K 28 14 13 1 Row K Row L 33 25 Row L 24 10 9 1 Row L Row M 21 20 19 Row M 18 4 3 2 1 Row M Row N 15 1 Row P 15 1 Jun Trey table 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Projection Booth Left handed desk Harvill 150 renumbered

45 Afra was interested in whether caffeine affects time to complete a cross-word
puzzle, so she randomly assigned people to two groups. One group drank caffeine and the other group did not. She then timed them to see how quickly they could complete a crossword puzzle. This is an example of a a. correlation b. t-test c. one-way ANOVA d. two-way ANOVA correct . Let’s try one

46 Thank you! See you next time!!

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