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BA 275 Quantitative Business Methods

BA 275 Quantitative Business Methods. Agenda. Analyzing Survey Data Chi-square Test of Independence Contingency Tables Chi-square Test of a Contingency Table Download PRACTICE FINAL from the class website. Final Examination. Tuesday, 3/20/2007 from 4:00 – 5:50 p.m.

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BA 275 Quantitative Business Methods

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  1. BA 275Quantitative Business Methods Agenda • Analyzing Survey Data • Chi-square Test of Independence • Contingency Tables • Chi-square Test of a Contingency Table • Download PRACTICE FINAL from the class website.

  2. Final Examination • Tuesday, 3/20/2007 from 4:00 – 5:50 p.m. • Room: GLFN Auditorium • Check the seating chart when you arrive. You must sit in the assigned seat to receive your own exam booklet. • Topics: Comprehensive • Regression analysis accounts for 50%. • Need a calculator that works and a good night sleep. • The normal, t and c2 tables (Tables A, D, and F) will be provided. • A 4” x 6” index card is allowed. • Additional office hours during the finals week • Monday, 3/19/2007, 1:00 – 3:00 p.m. • Tuesday, 3/20/2007, 9:00 – 11:00 a.m. • Tuesday, 3/20/2007, 1:00 – 3:30 p.m.

  3. Analyzing Categorical Data • Do you own an iPod? ___Yes ___No • Do you own a XBoX? ___Yes ___No • Which of the following 4 soft drinks gives you the highest satisfaction? • Type A ___ • Type B ___ • Type C ___ • Type D ___ • Your gender: ____Male ____ Female • Your nationality: _____

  4. Contingency Table • Define • Event E as student selected who owns an iPod, and • Event F as student selected who owns a XBOX. • What is P(E), the proportion of students who have iPods? What is P(F), the proportion of students who have XBOXs? • What is P(E and F), the proportion of students who have both iPods and XBOX? • Events E and F are mutually exclusive if they cannot both occur. That is, P(E and F) = 0. • What is P(E | F), the proportion of students with XBOXs who also have iPods? • Events E and F are independent if the presence or absence of E does not affect the probability of F. That is, P(E | F) = P(E).

  5. Chi-square Test H0: The two classifications are independent Ha: The two classifications are dependent What is the marketing implication?

  6. Observed vs. Expected Counts

  7. Two Similar or Different Tables?

  8. Chi-square Statistic – a measure of similarity/difference Large or small? Implication?

  9. Chi-square Statistic Cutoff Degrees of freedom = (#rows – 1 ) x (#cols – 1) Reject H0 Tables look different Two classifications are DEPENDENT. Tables look similar Do not reject H0 Two classifications are INdependent.

  10. Critical Values of c2

  11. Example 1

  12. Example 2

  13. Finally …. Thank you and Good Luck

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