Stat200-lecture3Sept14Fl09Sect1_4_web

# Stat200-lecture3Sept14Fl09Sect1_4_web - Chapter 6:...

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1 Chapter 6: Categorical Data Stat 200 Sections 1- 4 Mon Sept 14, 2009 LQ3

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2 Announcements Lecture Quiz 3 (LQ3): Take between after class & 4:00 AM Tues Exam 1 will be available for review later today (also will be posted for practice) HW2 Problems are listed on Week 4 Agenda: Submit answers between Thurs 12:30 PM & 4:00 AM Friday Try some problems before lab tomorrow Thurs A few slides will be posted by Wed for review for Thurs class Also complete readings Learn how to obtain normal probabilities
3 Exam 1 Results Item Q 1 Median Q 3 Max Mean St dev Exam 1 79 pts (72%) 92 pts (84%) 99 pts (90%) 108 pts (98%) 85 pts (77%) 24 pts (20%)

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4 Breakdown of Statistical Methods Statistical Methods Descriptive Methods Inferential Methods Graphs Numbers Confidence Intervals Hypothesis Tests (P-value) Describe Samples Conclusions about population
5 Two Categorical Variables Summarized in Contingency Tables 2 Way Tables 2X2 Tables Tables larger than 2X2 tables Do Today Do later

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6 Example 1: Two Survey Questions 1. What is your gender (Female, Male) 2. Do you have a PSU fitness membership? (Yes, No) Question: Is there a link between the two questions?
7 Example 1: Descriptively Relationship is Found Between The Two Variables 0 10 20 30 40 50 60 70 Percent Female Male PSU Fitness Membership Yes No

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8 Example 1: 2X2 Contingency Table Yes No Row Total Female 212 134 346 Male 122 117 239 Column Total 334 251 585 Explanatory Variable: ____________ Response Variable: ______________ Data in Table is: raw (original) summarized
9 Example 1: Conditional Probabilities Question 1: Given that a student is a female, what percent have a membership? Answer: Question 2: Given that a student is a male, what percent have a membership? Answer: Question1 Yes No Total Female 212 134 346 Male 122 117 239 Total 334 251 585 Question 2 Yes No Total Female 212 134 346 Male 122 117 239 Total 334 251 585

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10 Example 1: 2X2 Contingency Table Yes No Row Total Female 212 (61%) 134 346 Male 122 (51%) 117 239 Column Total 334 251 585 Difference in Row Percents: ________ Descriptive Conclusion: the ____________ the difference ____________ the support for a relationship (difference)
11 Example 1: 2X2 Redundant information when consider the “no’s Yes No Row Total Female 212 (61%) 134 (39%) 346 Male 122 (51%) 117 (49%) 239 Column Total 334 251 585 Row Percent (yes): 61% - 51% = 10% Row Percent (no): 49% - 39% = ____

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12 Overall Summary: Categorical Data (2 X 2 Tables) 2 X 2 Tables Descriptive Methods Inferential Methods Row Percents Two- Dimensional Bar Graph 95% C.I.’s P-value: Significance Test Do now Do later Add count comparison
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## This note was uploaded on 09/15/2009 for the course STAT 200 taught by Professor Barroso,joaor during the Fall '08 term at Penn State.

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Stat200-lecture3Sept14Fl09Sect1_4_web - Chapter 6:...

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