Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Q 1.88. (page 29)

In a designed experiment, there are two factors, say, Factor Aand Factor B. Factor Ahas four levels, say, a1,a2,a3anda4; Factor B has two levels, say,b1andb2.

(a) Construct a schematic for the treatments similar to Table 1.8 on page 27.

(b) Use part ( a ) to determine the number of treatments.

(c) Could you have determined the answer for part ( b ) without constructing the schematic in part ( a )? Explain your answer.

Short Answer

Expert verified

Part (a)

Part (b) 8.

Part (c) 8.

Step by step solution

01

Part (a) Step 1. Given information.

The given statement is:

In a designed experiment, there are two factors, say, FactorAand FactorB. FactorAhas four levels, say, a1,a2,a3anda4; Factor B has two levels, say,b1andb2.

02

Part (a) Step 2. Construct a schematic for the treatments.

Construct a schematic for the treatments as shown below:

03

Part (b) Step 1. Determine the number of treatments.

There are eight combinations based on the schematic for the treatments obtained in part (a).


As a result, there are a total of eight treatments.

04

Part (c) Step 1. Determine the number of treatments without constructing the schematic.

The number of levels for factor Ais four, while factor Bhas two levels.


The number of treatments will equal the product of factor Aand factor B:

=NumberoflevelsoffactorA×NumberoflevelsoffactorB=4×2=8

As a result, The total number of levels is 8.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Exercises 1.92-1.97, we present descriptions of designed experiments. In each case, identify the

(a) experimental units

(b) response variable

(c) factor (s)

(d) levels of each factor:-

(e) treatments.

The Lion's Mane. In a study by P. M. West titled "The Lion's Mane" ( American Scientist, Vol. 93, No. 3, pp. 226-236), the effects of the mane of a male lion as a signal of quality to mates and rivals was explored. Four life-sized dummies of male lions provided a tool for testing female response to the unfamiliar lions whose manes varied by length (long or short) and color (blonde or dark). The female lions were observed to see whether they approached each of the four life-sized dummies.

In a designed experiment, there are two factors. One factor has mlevels and the other factor has nlevels. Determine the number of treatments.

Hint: Refer to Exercise 1.87 or Exercise 1.88.

Oklahoma State Officials. The five top Oklahoma state officials are displayed in Table 1.2 on page 11. Use that table to solve the following problems.

(a) List the possible samples of size 1 that can be obtained from the population of five officials.

(b) What is the difference between obtaining a simple random sample of size 1 and selecting one official at random?

(c) List the possible samples (without replacement) of size 5 that can be obtained from the population of five officials.

(d) What is the difference between obtaining a simple random sample of size 5 and taking a census of the five officials?

In Exercises 1.7-1.12, classify each of the studies as either descriptive or inferential. Explain your answers.

Home Sales. Zillow.com is an online database that provides real estate information for U.S. homes that are for rent or sale. It also presents statistics on recently sold homes. The following table gives various information on all homes sold in several different cities across the United States for the month of September 2012.

Ghost of Speciation Past. In the article, "Ghost of Speciation Past" (Nature, Vol. 435, pp. 29-31), T. Kocher looked at the origins of a diverse flock of cichlid fishes in the lakes of southeast Africa. Suppose that you wanted to select a sample from the hundreds of species of cichlid fishes that live in the lakes of southeast Africa. If you took a simple random sample from the species of each lake and combined all the simple random samples into one sample, which type of sampling design would you have used? Explain your answer.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free