The data below are from an independent-measures experiment comparing three different treatment conditions regarding attention scores. Treatment 1 Treatment 2 Treatment 3 0 2 4 0 3 2 0 1 4 3 3 3 0 2 4 0 1 4 n = n = n = N = T = T = T = G = 36 M = M = M = k = ∑X2 ∑X2 ∑X2 ∑X21,2,3 = 114 SS = SS = SS = Explain why an ANOVA should be used instead of a series of t tests to evaluate the mean differences among the three treatment conditions. Use an analysis of variance (ANOVA) with α = .05 to determine whether these data indicate any significant mean differences among the treatment conditions. State the hypothesis using symbols and words. Find critical region. Find degrees of freedom: Total Between Within Calculate the F-Ratio SS total SS within SS between MS between MS within F Ratio Compute η2, the percentage of variance accounted for by the treatments and state it in the context of the scenario Write the results of the analysis of variance as appropriate for a statistical report. Conduct Tukey's Honestly Significant Difference (HSD) Test Find q Conduct HSD Interpret HSD in the context of the scenario -- attention scores

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

The data below are from an independent-measures experiment comparing three different treatment conditions regarding attention scores.

Treatment 1	Treatment 2	Treatment 3
0	2	4
0	3	2
0	1	4
3	3	3
0	2	4
0	1	4
n =	n =	n =	N =
T =	T =	T =	G = 36
M =	M =	M =	k =
∑X²	∑X²	∑X²	∑X²_¹^,2,³^₌ 114
SS =	SS =	SS =

Explain why an ANOVA should be used instead of a series of t tests to evaluate the mean differences among the three treatment conditions.
Use an analysis of variance (ANOVA) with α = .05 to determine whether these data indicate any significant mean differences among the treatment conditions.
- State the hypothesis using symbols and words.
- Find critical region.
- Find degrees of freedom:
  - Total
  - Between
  - Within
- Calculate the F-Ratio
  - SS total
  - SS within
  - SS between
  - MS between
  - MS within
  - F Ratio
Compute η2, the percentage of variance accounted for by the treatments and state it in the context of the scenario
Write the results of the analysis of variance as appropriate for a statistical report.

Find q
Conduct HSD
Interpret HSD in the context of the scenario -- attention scores

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Anova and Design of Experiments$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc