Exhibit 7-11: in a 2 $\times$ 3 Experimental Design Three Kinds of Treatments (A, B, and Kinds

question 17

Multiple Choice

Exhibit 7-11: In a 2 $\times$ 3 experimental design three kinds of treatments (A, B, and C) were used with two groups of subjects (M and N) .The number of subjects and the mean of each group are as follows:
$\begin{array}{lll}&&&\text { Treatments }\\&&\mathrm{A} & \mathrm{B} & \mathrm{C} \\&\mathrm{~M}&\mathrm{X}=20 & \mathrm{X}=18 & \mathrm{X}=16 \\&&\mathrm{~N}=5 & \mathrm{~N}=5 & \mathrm{~N}=5 \\\text { subjects } \\&\mathrm{~N}&\mathrm{X}=12 & \mathrm{X}=14 & \mathrm{X}=16 \\&&\mathrm{~N}=5 & \mathrm{~N}=5 & \mathrm{~N}=5\end{array}$
The following is the incomplete summary table of multifactor analysis of variance.Complete the table and answer the following questions.
$\begin{array}{ll}\text { Source of variation } & S S & \underline { \text { df }} & \underline { \text { MS}} & \underline { \text { F}}\\\hline \text { Between columns } & 0 \\\text { Between rows } & 120 \\\text { Interaction } & \\\hline \text { Between groups } & 200 \\\text { Within groups } & \\\hline \text { Tntal } & 454\end{array}$
-Refer to Exhibit 7-11.The number of degrees of freedom for within groups is

• A) 1.
• B) 2.
• C) 5.
• D) 24.

---

Definitions:

Initializer Lists

Initializer lists in programming are used to initialize the member variables of a class with specific values at the time of object creation.

ArrayIndexOutOfBounds

An exception thrown in programming when an attempt is made to access an element of an array beyond its bounds.

Logic Error

A mistake in a program's source code that results in incorrect or unexpected behavior, but does not necessarily produce a syntax error.

Enumerated Type

A data type consisting of a set of predefined constants, known as enumeration, helping to create more readable and maintainable code.