Week9.pdf - Lecture 1 Two-Sample t-Test Slide 9.3 9.126 Week 9 Announcement The due date for the statistics assignment is Friday 15th(Week 9 November

Week9.pdf - Lecture 1 Two-Sample t-Test Slide 9.3 9.126...

This preview shows page 1 - 7 out of 126 pages.

Lecture 1: Two-Sample t -Test Slide 9.3 / 9.126 Week 9 Announcement The due date for the statistics assignment is Friday 15th (Week 9) November before 2pm. The link to submit your assignments on Moodle will be open soon. You can ask questions on the dedicated Moodle forum which is located in the assessment tab . Week 9 online tutorial is due Sunday before 6pm. Chapter 9 : Statistical Inference for Two Parameters MATH1041: Page 990 / 1115
Image of page 1
Lecture 1: Two-Sample t -Test Slide 9.4 / 9.126 The Agenda Slide Overarching aim of the course: introducing Statistics, the study of collecting, analysing and interpreting data (fundamental to any quantitative research) First class of Week 9 Last time: Confidence intervals for a proportion Hypothesis tests for a proportion Today: Two-sample t -test Paired t -test For next time: Read appropriate pages in the textbook Chapter 9 : Statistical Inference for Two Parameters MATH1041: Page 991 / 1115
Image of page 2
Lecture 1: Two-Sample t -Test Slide 9.5 / 9.126 Lecture 1 Learning Outcomes [ Ch9-L1-O1 ] Understand formulas for two-sample t -test [ Ch9-L1-O2 ] Know the formula for confidence intervals for the difference of means for independent samples By the end of this lecture you should be able to: Perform a two-sample t -test Build a confidence interval for a difference in means Chapter 9 : Statistical Inference for Two Parameters MATH1041: Page 992 / 1115
Image of page 3
Lecture 1: Two-Sample t -Test Slide 9.6 / 9.126 Data analysis for one or two variables one variable two variables variable type: categorical quantitative both categorical one categorical, one quantitative both quantitative useful for inference: CI for p (for binary var) CI for μ CI for μ 1 - μ 2 CI for β 1 useful test: 1-samp for p (for binary var) 1-sample t - test for μ (or Z -test if σ known) χ 2 test for indepen- dence 2-sample t (for independence binary+quant) test regression slope ( β 1 ) Chapter 9 : Statistical Inference for Two Parameters MATH1041: Page 993 / 1115
Image of page 4
Lecture 1: Two-Sample t -Test Slide 9.7 / 9.126 Example – Do Ravens Fly to Gunshots? Example 9.73 Do ravens intentionally fly towards gunshot sounds (to scavenge on the carcass they expect to find)? ( Ecology 2005, 86:1057–1060) Crow White addressed this question by counting raven numbers at a location, firing a gun, then counting raven numbers 10 minutes later. He did this in 12 locations. Results: location 1 2 3 4 5 6 7 8 9 10 11 12 before 1 0 1 0 0 0 0 5 1 1 2 0 after 2 3 2 2 1 1 2 2 4 2 0 3 Is there evidence that ravens fly towards the location of gunshots? Chapter 9 : Statistical Inference for Two Parameters MATH1041: Page 994 / 1115
Image of page 5
Lecture 1: Two-Sample t -Test Slide 9.8 / 9.126 Example – Pregnancy and Smoking Example 9.74 What is the effect of a mother’s smoking during pregnancy on the resulting offspring? ( Journal of General Psychology 1993, 120(1): 49–63) A randomised controlled experiment investigated this by injecting pregnant guinea pigs with 0.5 mg/kg nicotine hydrogen tartrate in saline solution. The control group was injected with a saline solution without nicotine.
Image of page 6
Image of page 7

You've reached the end of your free preview.

Want to read all 126 pages?

  • One '14

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Stuck? We have tutors online 24/7 who can help you get unstuck.
A+ icon
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes
A+ icon
Ask Expert Tutors