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Quantitative Methods in Social Sciences (E774): Review Session VIII

This document presents an overview of key topics discussed in Review Session VIII of the Quantitative Methods in Social Sciences course. Led by Dany Jaimovich on November 11, 2009, the session covered important assignments, including Policy Paper II, as well as fundamentals of probability theory, sampling techniques, and statistical inference methods. Students are introduced to hypothesis testing using z-tests and t-tests, with practical applications demonstrated through assignments that require analysis of sample means, proportions, and standard errors for various data scenarios.

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Quantitative Methods in Social Sciences (E774): Review Session VIII

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  1. Quantitative Methods inSocial Sciences (E774): Review Session VIII DanyJaimovich November 11, 2009

  2. Plan for today • Policy Paper II • Assignment II • Assignment III • Two sample mean test

  3. Policy Paper II • Weeks 5-8: • Probability theory • Sampling • Static inference: point, CI • Use of z-test and/or t-test • Hypothesis analysis • Two-sample test • Qualitative analysis

  4. Assignment II • Question 2: • ztable (z=5 out of table, >99.99% out)

  5. Assignment II • Question 3: • zcalc 25 8.4 4.68 • zcalc 5.9 8.4 4.68 • zcalc 20 8.4 4.68 • zcalc 20.6 8.4 4.68 • ztable (99.34% of probability of Canada been higher than average european) • zdemo 2.48

  6. Assignment III • Question 2: • When the variable of analysis is a proportion, there are some differences: • Standard errors= • The CI for proportions is: =

  7. Assignment III • Question 2: • prtesti 55 .84 0.5 (test majority) • prtesti 55 .84 0.99 (test consensus) • prtesti 55 .84 0.90 (test p=90%) • prtesti 200 .84 .90 (more observations)

  8. Assignment III • Question 3: • zcalc 259 200 200 46 (weknowσ=200) • ttesti 46 259 249 200 (wedon’tknowσ, but we know s.d.=249)

  9. Two samples mean test • Gambian villages: • bysort village: sum hhsize • sdtesti 26 12.46 12.92 21 19.28 11.67 • ttesti26 12.46 12.92 21 19.28 11.67

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