Answered: A study reported in The Accounting…

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

Concept explainers

Question

A PREVIOUS TUTOR GAVE ME INCORRECT ANSWERS, THE RED X'S COME FROM ME HITTING "CHECK MY WORK" BEING THAT THOSE SPOTS WERE BLANK THERE ARE RED X MARKS, BUT THIS IS NOT GRADED.

A study reported in The Accounting Review examined the separate and joint effects of two levels of time pressure (low and moderate) and three levels of knowledge (naive, declarative, and procedural) on key word selection behavior in tax research. Subjects were given a tax case containing a set of facts, a tax issue, and a key word index consisting of 1336 key words. They were asked to select the key words they believed would refer them to a tax authority relevant to resolving the tax case. Prior to the experiment, a group of tax experts determined that the text contained 19 relevant key words. Subjects in the naive group had little or no declarative or procedural knowledge, subjects in the declarative group had significant declarative knowledge but little or no procedural knowledge, and subjects in the procedural group had significant declarative knowledge and procedural knowledge. Declarative knowledge consists of knowledge of both the applicable tax rules and the technical terms used to describe such rules. Procedural knowledge is knowledge of the rules that guide the tax researcher's search for relevant key words. Subjects in the low time pressure situation were told they had 25 minutes to complete the problem, an amount of time which should be "more than adequate" to complete the case; subjects in the moderate time pressure situation were told they would have "only" 11 minutes to complete the case. Suppose 25 subjects were selected for each of the six treatment combinations and the sample means for each treatment combination are as follows (standard deviations are in parentheses).

Knowledge
Naive
Declarative
Procedural
Low
1.13
1.56
2.00
(1.12)
(1.33)
(1.54)
Time Pressure
Moderate
0.48
1.68
2.86
(0.80)
(1.36)
(1.80)

Use the ANOVA procedure to test for any significant differences due to time pressure, knowledge, and interaction. Use a 0.05 level of significance. Assume that the total sum of squares for this experiment is 327.50.
Letting Time Pressure be Factor A and Knowledge be Factor B, show the entries in the ANOVA table (to 2 decimals, if necessary). Do not round intermediate calculations. If your answer is zero, enter "0".
Source of
Sum
Degrees
p-value
Variation
of Squares
of Freedom Mean Square
F
(to 4 decimals)
Factor A
0.45
1
0.45
0.26
Factor B
2
Interaction
14.25 O
2
7.13
4.14
Error
144
1.72
Total
327.50
149

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Step 1

Error sum of squares:

From the given information,

$E r r o r s u m o f s q u a r e s = E r r o r m e a n s u m o f s q u a r e s * e r r o r d e g r e e s o f f r e e d o m = 1.72 * 144 = 247.68$

Factor B sum of squares:

$T o t a l s u m o f s q u a r e s = f a c t o r A s u m o f s q u a r e s + f a c t o r B s u m o f s q u a r e s + i n t e r a c t i o n s u m o f s q u a r e s + e r r o r s u m o f s q u a r e s 327.50 = 0.45 + f a c t o r B s u m o f s q u a r e s + 14.25 + 247.68 327.50 = f a c t o r B s u m o f s q u a r e s + 262.38 327.50 - 262.38 = f a c t o r B s u m o f s q u a r e s 65.12 = f a c t o r B s u m o f s q u a r e s$

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

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.

Similar questions