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Lab IV: Outline, Part 1

Lab IV: Outline, Part 1. Use of correlated versus independent t -tests – Sample Experiment Introduction to a web-based stats program: Vassarstats How to graph Ms and SDs, an example. The Terrible t ’s. Independent and Correlated (Paired) t -tests.

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Lab IV: Outline, Part 1

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  1. Lab IV: Outline, Part 1 • Use of correlated versus independent t-tests – Sample Experiment • Introduction to a web-based stats program: Vassarstats • How to graph Ms and SDs, an example

  2. The Terrible t’s Independent and Correlated (Paired) t-tests

  3. I pity the fool who doesn’t know when to use correlated vs. independent t-tests!

  4. Sample Experiment: t-test Examples • Hypothesis 1: Exposure to bright light will increase gill flare in male Betta splendens. • Hypothesis 2: Male Betta splendens exposed to bright light will have longer gill flare durations than those not exposed to bright light.

  5. Sample Experiment: t-test Examples • Subjects: 4 adult male Betta splendens (A, B, C, D) A

  6. B D A C Exposed fish to each other for 10 min, recorded gill flare Trial 1

  7. Trial 1 Gill Flare (/10 min.) = baseline duration of gill flare

  8. Exposed Fish A & Fish C to bright light for 5 min. (no light) (no light) B D C A

  9. B D A C Exposed fish to each other for 10 min, recorded gill flare Trial 2

  10. Trial 2 Gill Flare (/10 min.) = duration of gill flare after light/no light

  11. Fish No Light (Before) Light (After) A 100 s 200 s C 90 s 185 s Hypothesis 1: Exposure to bright light will increase gill flare in male Betta splendens. *We want to compare each fish’s score on one condition (“before exposure”) to its score on another condition (“after exposure”)

  12. Fish No Light (Before) Light (After) A 100 s 200 s C 90 s 185 s Correlated (or Paired) t-test • Scores between conditions are for same subject • i.e., Fish A has a score for both “light” and “no light”, and Fish B has a score for both conditions • Hence, scores are said to be “paired” or “correlated”)

  13. t-tests and procedures How to use Vassarstats for t-tests • http://faculty.vassar.edu/lowry/VassarStats.html

  14. = Number of rows 2

  15. Row 1 = Fish A’s scores Row 2 = Fish C’s scores Xa = before light exposure Xb = after light exposure

  16. Because our hypothesis was unidirectional (meaning we predicted change in a single, specific direction), we can use the one-tailed value.

  17. Now just copy and paste

  18. How to Report Results: Examples • “Exposure to bright light significantly increases gill flare duration in male Betta splendens(t = -39, df = 1, p < .05) .” Must also include Ms and SDs in a table or graph. • “Gill flare duration after light exposure (M = 192.5, SD = 10.61) was significantly greater than before light exposure (M = 92.5, SD = 7.07); t(1) = -39, p < .05.”

  19. Subject Light Subject No Light A 200 s B 130 s C 185 s D 125 s Hypothesis 2: Male Betta splendens exposed to bright light will have longer gill flare durations than those not exposed to bright light. *Across conditions, we are comparing the scores of two different fish; hence, the scores are independent of each other

  20. Subject Light Subject No Light A 200 s B 130 s C 185 s D 125 s Independent t-test • The scores between the two conditions are from different subjects, which makes them independent • The scores in the “Light” condition are not correlated with scores in the “no light” condition

  21. How many scores are in each column? (If unequal, pick larger.) 2

  22. Xa = Light Xb = No Light

  23. How to Report Results: Examples • “Male Betta splendens that were exposed to bright light (M = 192.5, SD = 10.61) flared their gills for longer durations than those not exposed to bright light (M = 127.5, SD = 3.54);t(2) = 8.22, p < .05.” • Or, can give Ms and SDs in a table or graph.

  24. How to graph Ms and SDs for Duck Lab

  25. HINT: The columns correspond to those used for your t-test… SD for C2 SD for C1 Mean for C2 Mean for C1

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