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Lecturer’s desk

Screen. Cabinet. Cabinet. Lecturer’s desk. Table. Computer Storage Cabinet. Row A. 3. 4. 5. 19. 6. 18. 7. 17. 16. 8. 15. 9. 10. 11. 14. 13. 12. Row B. 1. 2. 3. 4. 23. 5. 6. 22. 21. 7. 20. 8. 9. 10. 19. 11. 18. 16. 15. 13. 12. 17. 14. Row C. 1. 2.

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Lecturer’s desk

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  1. Screen Cabinet Cabinet Lecturer’s desk Table Computer Storage Cabinet Row A 3 4 5 19 6 18 7 17 16 8 15 9 10 11 14 13 12 Row B 1 2 3 4 23 5 6 22 21 7 20 8 9 10 19 11 18 16 15 13 12 17 14 Row C 1 2 3 24 4 23 5 6 22 21 7 20 8 9 10 19 11 18 16 15 13 12 17 14 Row D 1 2 25 3 24 4 23 5 6 22 21 7 20 8 9 10 19 11 18 16 15 13 12 17 14 Row E 1 26 2 25 3 24 4 23 5 6 22 21 7 20 8 9 10 19 11 18 16 15 13 12 17 14 Row F 27 1 26 2 25 3 24 4 23 5 6 22 21 7 20 8 9 10 19 11 18 16 15 13 12 17 14 28 Row G 27 1 26 2 25 3 24 4 23 5 6 22 21 7 20 8 9 29 10 19 11 18 16 15 13 12 17 14 28 Row H 27 1 26 2 25 3 24 4 23 5 6 22 21 7 20 8 9 10 19 11 18 16 15 13 12 17 14 Row I 1 26 2 25 3 24 4 23 5 6 22 21 7 20 8 9 10 19 11 18 16 15 13 12 17 14 1 Row J 26 2 25 3 24 4 23 5 6 22 21 7 20 8 9 10 19 11 18 16 15 13 12 17 14 28 27 1 Row K 26 2 25 3 24 4 23 5 6 22 21 7 20 8 9 10 19 11 18 16 15 13 12 17 14 Row L 20 1 19 2 18 3 17 4 16 5 15 6 7 14 13 INTEGRATED LEARNING CENTER ILC 120 9 8 10 12 11 broken desk

  2. Introduction to Statistics for the Social SciencesSBS200, COMM200, GEOG200, PA200, POL200, or SOC200Lecture Section 001, Fall, 2013Room 120 Integrated Learning Center (ILC)10:00 - 10:50 Mondays, Wednesdays & Fridays. Welcome http://www.youtube.com/watch?v=oSQJP40PcGI

  3. Homework due – Wednesday (October 9th) On class website: Please print and complete homework worksheet #11 Calculating z-score, raw scores and areas under normal curve Please click in My last name starts with a letter somewhere between A. A – D B. E – L C. M – R D. S – Z

  4. Use this as your study guide By the end of lecture today10/4/13 Counting ‘standard deviationses’ – z scores Connecting raw scores, z scores and probabilityConnecting probability, proportion and area of curve Percentiles

  5. Schedule of readings Before next exam (October 18th) Please read chapters 5, 6, & 8 in Ha & Ha 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

  6. Lab sessions Labs continue next week with Project 1

  7. One positive correlation One negative correlation One t-test

  8. Remember… In a negatively skewed distribution: mean < median < mode 88 = mode = tallest point 84 = median = middle score 80 = mean = balance point Mode Frequency Score on Exam Mean Note: Always “frequency” Median Note: Label and Numbers

  9. Homework Worksheet Examples of the seven prototypical designs

  10. Class standing 4 Ordinal # Bags Sold Quasi # of bags of peanuts sold Ratio Between One-way ANOVA Fr So JrSr Class Standing

  11. Homework Review Average # of bags of peanuts sold Frequency 95% Confidence Interval Average # of bags of peanuts sold

  12. Homework Review Type of Diet 2 Nominal Weight Loss True Experiment Weight Loss Ratio Between Regular New T-test Type of Diet

  13. Homework Review Type of Diet Male 2 Gender Weight Loss 2 Female Mixed Weight Loss Regular New Between Type of Diet Two-way ANOVA

  14. Homework Review Distance Time Strong, positive +1.0 Correlation Time Distance

  15. Raw scores, z scores & probabilities The normal curve is defined mostly by its mean, and standard deviation. Once we know that we can figure out a lot z-table (from z to area) Distance from the mean ( from raw to z scores) Raw Scores (actual data) Proportion of curve (area from mean) Given any of these values (raw score, area, z score) and you can figure out the other two.

  16. Scores, standard deviations, and probabilities Mean = 50 S = 10 (Note S = standard deviation) If we go up one standard deviation z score = +1.0 and raw score = 60 If we go down one standard deviation z score = -1.0 and raw score = 40

  17. Scores, standard deviations, and probabilities Mean = 50 S = 10 (Note S = standard deviation) If we go up two standard deviations z score = +2.0 and raw score = 70 If we go down two standard deviations z score = -2.0 and raw score = 30

  18. Scores, standard deviations, and probabilities Mean = 50 S = 10 (Note S = standard deviation) If we go up three standard deviations z score = +3.0 and raw score = 80 If we go down three standard deviations z score = -3.0 and raw score = 20

  19. z scores z score: A score that indicates how many standard deviations an observation is above or below the mean of the distribution z score = raw score - mean standard deviation

  20. Find z score for raw score of 60 z score: A score that indicates how many standard deviations an observation is above or below the mean of the distribution z score = raw score - mean standard deviation z-table (from z to area) Distance from the mean ( from raw to z scores) Raw Scores (actual data) Proportion of curve (area from mean) 50 60 z = 1 10 Mean = 50 S = 10 (Note S = standard deviation)

  21. Find z score for raw score of 30 z score: A score that indicates how many standard deviations an observation is above or below the mean of the distribution z score = raw score - mean standard deviation z-table (from z to area) Distance from the mean ( from raw to z scores) Raw Scores (actual data) Proportion of curve (area from mean) 50 30 z = - 2 10 Mean = 50 S = 10 (Note S = standard deviation)

  22. Find z score for raw score of 70 Raw scores, z scores & probabilities z-table (from z to area) Distance from the mean ( from raw to z scores) If we go up to score of 70 we are going up 2.0 standard deviations Raw Scores (actual data) Proportion of curve (area from mean) Then, z score = +2.0 z score = raw score - mean standard deviation z score = 70 – 50 . 10 = 20. 10 = 2 Mean = 50 S = 10 (Note S = standard deviation)

  23. Find z score for raw score of 80 z score: A score that indicates how many standard deviations an observation is above or below the mean of the distribution z score = raw score - mean standard deviation z-table (from z to area) Distance from the mean ( from raw to z scores) Raw Scores (actual data) Proportion of curve (area from mean) 50 80 z = 3 10 Mean = 50 S = 10 (Note S = standard deviation)

  24. Find z score for raw score of 20 Raw scores, z scores & probabilities z-table (from z to area) Distance from the mean ( from raw to z scores) If we go down to score of 20 we are going down 3.0 standard deviations Raw Scores (actual data) Proportion of curve (area from mean) Then, z score = -3.0 z score = raw score - mean standard deviation z score = 20 – 50 10 = - 30 . 10 = - 3 Mean = 50 S = 10 (Note S = standard deviation)

  25. z scores - Writing Assignment 1. In this formula, what does this symbol refer to? • What is it called? • What does it mean? • Is it a parameter or statistic? 2. In this formula, what does this symbol refer to? • What is it called? • What does it mean? • Is it a parameter or statistic? 3. In this formula, what does this symbol refer to? • What is it called? • What does it mean? • Is it a parameter or statistic? 4. In this formula, what does this symbol refer to? • What is it called? • What does it mean? • Is it a parameter or statistic? 5. In this formula, what does this symbol refer to? 6. What is a z score?

  26. z scores - Writing Assignment 1. In this formula, what does this symbol refer to? The standard deviation (population) sigma • What is it called? • What does it mean? • Is it a parameter or statistic? parameter 2. In this formula, what does this symbol refer to? The mean (population) mu • What is it called? • What does it mean? • Is it a parameter or statistic? parameter The mean (sample) 3. In this formula, what does this symbol refer to? x-bar • What is it called? • What does it mean? • Is it a parameter or statistic? statistic 4. In this formula, what does this symbol refer to? The standard deviation (sample) s • What is it called? • What does it mean? • Is it a parameter or statistic? statistic Raw score that you are changing into a z-score The number of standard deviations you are from the mean 5. In this formula, what does this symbol refer to? 6. What is a z score?

  27. Thank you! See you next time!!

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