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Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Spring 2016 Room 150 Harvill Building 9:00 - 9:50 Mondays, Wednesdays & Fridays. Welcome
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Lab sessions Everyone will want to be enrolled
in one of the lab sessions Labs start Next week
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Schedule of readings Before next exam (February 12th)
Please read chapters in OpenStax textbook Please read Appendix D, E & F online On syllabus this is referred to as online readings 1, 2 & 3 Please read Chapters 1, 5, 6 and 13 in Plous Chapter 1: Selective Perception Chapter 5: Plasticity Chapter 6: Effects of Question Wording and Framing Chapter 13: Anchoring and Adjustment
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Homework Assignment 3 Go to D2L - Click on “Content”
Click on “Interactive Online Homework Assignments” HW3-Part1-Sampling Techniques HW3-Part2-Integrating Methodologies Due: Monday, January 25th
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By the end of lecture today 1/2216
Use this as your study guide By the end of lecture today 1/2216 Introduction to Project 1 Continuous versus discrete Levels of Measurement: Nominal, Ordinal, Interval and Ratio
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Complete this in the next two weeks and receive extra credit!
In nearly every class we will use clickers to: answer questions in class and participate in interactive class demonstrations We’ll register them on our webpage- then use ‘em! student.turningtechnologies.com (Please note there is no “www”) Complete this in the next two weeks and receive extra credit! (By February 1st)
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writing assignment forms notebook and clickers to each lecture
Remember bring your writing assignment forms notebook and clickers to each lecture ..
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Continuous versus discrete
Continuous variable: Variables that can assume any value. There are (in principle) an infinite number of values between any two numbers Discrete variable: Variables that can only assume whole numbers. There are no intermediate values between the whole numbers Duration Amount of sand Number of eggs in a carton Amount of milk in a glass Height Number of cookies on a plate Distance to the moon Grains of sand Number of kids in classroom Number of textbooks required for class
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Categorical versus Numerical data
Categorical data (also called qualitative data) - a set of observations where any single observation is a word or a number that represents a class or category Numerical data (also called quantitative data) - a set of observations where any single observation is a number that represents an amount or count
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Handedness - right handed or left handed
Categorical data (also called qualitative data) - a set of observations where any single observation is a word or a number that represents a class or category Numerical data (also called quantitative data) - a set of observations where any single observation is a number that represents an amount or count Handedness - right handed or left handed Family size Hair color Ethnic group GPA Age (Time since birth) Temperature (Kelvin) Yearly salary Breed of dog Gender - male or female Temperature (Fahrenheit) Please note this is a binary variable
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On a the top half of a writing assignment form
Categorical data (also called qualitative data) - a set of observations where any single observation is a word or a number that represents a class or category Numerical data (also called quantitative data) - a set of observations where any single observation is a number that represents an amount or count On a the top half of a writing assignment form please generate two examples of categorical data and two examples of numerical data Please note we’ll use the bottom half for something else
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What are the four “levels of measurement”?
Ratio Absolute zero Most numeric Categories Intrinsic ordering Equal sized intervals Units meaningful Interval Names Categories Intrinsic ordering Ordinal Approaching Numeric Categories Least numeric Names Nominal Weakest
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What are the four “levels of measurement”?
Categorical data Nominal data - classification, differences in kind, names of categories Ordinal data - order, rankings, differences in degree Numerical data Interval data - measurable differences in amount, equal intervals Ratio data - measurable differences in amount with a “true zero” Gender - male or female Family size Jersey number Place in a foot race (1st, 2nd, 3rd, etc) Handedness - right handed or left handed
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What are the four “levels of measurement”?
Categorical data Nominal data - classification, differences in kind, names of categories Ordinal data - order, rankings, differences in degree Numerical data Interval data - measurable differences in amount, equal intervals Ratio data - measurable differences in amount with a “true zero” Age Hair color Telephone number Ethnic group Breed of dog Temperature Yearly salary
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Please note : page 29 in text
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What are the four “levels of measurement”?
Categorical data Nominal data - classification, differences in kind, names of categories Ordinal data - order, rankings, differences in degree Numerical data Interval data - measurable differences in amount, equal intervals Ratio data - measurable differences in amount with a “true zero” Look at your examples of qualitative and quantitative data. Which levels of measurement are they?
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Project 1 Likert Scale (summated scale) Correlation (scatterplots) Comparing two means (bar graph)
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Likert Scale is always a “summated scale” with multiple items.
All items are measuring the same construct. The score reflects the sum of responses on a series of items. - miniquiz (like Cosmo - ask several questions then sum responses) - For example, several questions on political views (coded so that larger numbers mean “more liberal”) 1. Lower taxes and a smaller government will improve the standard of living for all. agree disagree 2. Marriage should be between one man and one woman agree disagree 3. Evolution of species has no place in public education agree disagree
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I prefer rap music to classical music Agree 1---2---3---4---5 Disagree
Likert Scale is always a “summated scale” with multiple items. All items are measuring the same construct. The score reflects the sum of responses on a series of items. Anchored rating scales: a written description somewhere on the scale I prefer rap music to classical music Agree Disagree Fully anchored rating scales: a written description for each point on the scale I prefer rap music to classical music Strongly Disagree Strongly Agree Agree Neutral Disagree
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Likert Scale is always a “summated scale” with multiple items.
All items are measuring the same construct. The score reflects the sum of responses on a series of items.
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Project 1 Likert Scale (summated scale) Correlation (scatterplots) Comparing two means (bar graph)
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Scatterplot displays relationships between two continuous variables
Correlation: Measure of how two variables co-occur and also can be used for prediction Range between -1 and +1 The closer to zero the weaker the relationship and the worse the prediction Positive or negative
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Positive correlation: as values on one variable go up, so do values
Positive correlation: as values on one variable go up, so do values for the other variable Negative correlation: as values on one variable go up, the values for the other variable go down Height of Mothers by Height of Daughters Height of Mothers Positive Correlation Height of Daughters
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Positive correlation: as values on one variable go up, so do values
Positive correlation: as values on one variable go up, so do values for the other variable Negative correlation: as values on one variable go up, the values for the other variable go down Brushing teeth by number cavities Brushing Teeth Negative Correlation Number Cavities
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Thank you! See you next time!!
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