The Following Table Shows the Results of a Two-Factor Analysis

question 48

Multiple Choice

The following table shows the results of a two-factor analysis of variance with two levels of factor A, three levels of factor B, and a separate sample of n = 5 participants in each of the treatment conditions.Note that several values are missing in the table.What is the missing value for the F-ratio for the AxB interaction? $\begin{array}{ccccc}\text { Source } & \mathrm{SS} & \mathrm{df} & \mathrm{MS} & \\\hline \text { Between } & 80 & \mathrm{xx} & & \\\text { A } & 8 & \mathrm{xx} & \mathrm{xx} & \mathrm{F}=\mathrm{xx} \\\mathrm{B} & \mathrm{xx} & \mathrm{xx} & 20 & \mathrm{~F}=\mathrm{xx} \\\mathrm{AxB} & \mathrm{xx} & \mathrm{xx} & \mathrm{xx} & \mathrm{F}=\mathrm{xx} \\\text { Within } & \mathrm{xx} & \mathrm{xx} & \mathrm{xx} & \\\text { Total } & 176 & \mathrm{xx} & &\end{array}$

• A) 2
• B) 4
• C) 8
• D) 16

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Definitions:

Herfindahl Index

A measure of market concentration that calculates the sum of the squares of the market shares of the firms within an industry, used to assess the competition level.

Market Shares

The percentage of an industry's sales that a particular company controls.

Conglomerate Merger

A type of merger where two or more companies in unrelated business areas combine operations.

Buyer-Seller Relationship

The interactions and exchanges between a buyer and a seller, including transactions, communication, and any long-term engagements.