ANOVA Table Post Hoc Analysis
Tukey Simultaneous Comparison T-Values $($

question 38

Multiple Choice

ANOVA table
$\begin{array}{lrrrr}\hline\text { Source } & S S & d f & M S & F &p \text {-value }\\\hline \text { Treatment } & 6.000 & 3 & 1.9998 & 18.85&3.4E-05\\\hline\text { Error } & 1.486 & 14 & 0.1061 & \\\hline\text { Total } & 7.485 & 17 & &\end{array}$
Post hoc analysis
Tukey simultaneous comparison t-values $($ d.f. $=14)$
$\begin{array}{ccccc}&\text { Brand 3 }   \text { Brand 2 }  \text { Brand 4 }  \text { Brand 1 } \\&\quad1.40 \quad 2.28 \quad 2.58 \quad 2.95\\\begin{array}{ll}\text { Brand 3 } & 1.40 \\\text { Brand 2 } & 2.28 \\\text { Brand 4 } & 2.58 \\\text { Brand 1 } & 2.95\end{array}&\begin{array}{|l|l|l|l|}\hline & & & \\\hline 4.27 & & & \\\hline 5.38 & 1.35 & & \\\hline 7.09 & 3.07 & 1.63 &\quad\quad \\\hline\end{array}\end{array}$
The Excel/Mega-Stat output given above summarizes the results of a one-way analysis of variance in an attempt to compare the performance characteristics of four brands of vacuum cleaners. The response variable is the amount of time it takes to clean a specific size room with a specific amount of dirt.

-Use the information above and determine an individual 95% confidence interval confidence interval for $\mu _ { 1 } - \mu _ { 2 }$
) The mean and sample sizes for brand 1 and brand 2 are as follows: $\bar { x } _ { 1 }$
= 2) 95, $\bar { x } _ { 2 }$
= 2) 28,n₁ = 4 and n₂ = 5.

• A)2013 to 1.1387
• B)2852 to 1.0547
• C)-.228 to 1.5680
• D)4515 to .8885
• E)It cannot be determined with the information given.

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Definitions:

Unquestioned Ideas

Beliefs or assumptions that are accepted without examination or critical analysis, often taken for granted.

Rational Emotive Thoughts

refer to the components of Rational Emotive Behavior Therapy (REBT), emphasizing the role of rational thinking in overcoming emotional or behavioral issues.

Delusions

Fixed false beliefs that are resistant to reasoned argument or factual evidence, often found in psychiatric conditions such as schizophrenia.

Arbitrary Inference

A cognitive distortion where an individual draws a conclusion without evidence, or in spite of contradictory evidence.