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Chapter 1 Introduction Chapter 1 Test

1、 问题:Which of the following method should we use when dealing with experiments with more than one factor?
选项:
A:Best-guess
B:Factorial experiment
C:One-factor-at-a-time
D:Blocking
答案: 【Factorial experiment

2、 问题:Which of the following is not a common experimental strategy?
选项:
A:Best-guess
B:Quantitative analysis
C:One-factor-at-a-time
D:Factorial experiment
答案: 【Quantitative analysis

3、 问题:Statistical methods often assume that the observations (or errors) are independently distributed random variables. Which of the following strategy makes this assumption valid.
选项:
A:Replication
B:Repeated measurement
C:Blocking
D:Randomization
答案: 【Randomization

4、 问题:Which of the following strategy can make the best use of experimental data?
选项:
A:One-factor-at-a-time
B:Best-guess
C:Factorial experiment
D:Replication
答案: 【Factorial experiment

5、 问题:Which of the following can be achieved by using blocking principle?
选项:
A:To obtain an estimate of the experimental error
B:To increase the accuracy of the experiment
C:To reduce or eliminate the variability transmitted from nuisance factors
D:To balance out any material or experimental unit effect
答案: 【To increase the accuracy of the experiment;
To reduce or eliminate the variability transmitted from nuisance factors

6、 问题:During the following potential design factors, whose effect are relatively small?
选项:
A:Design factors
B:Held-constant factors
C:Allowed-to-vary factors
D:Controllable factors
答案: 【Held-constant factors;
Allowed-to-vary factors

7、 问题:By randomization, we can compensate for the effect of nuisance factors.
选项:
A:正确
B:错误
答案: 【错误
分析:【Analysis of covariance can often be used to compensate for its effect.

8、 问题:The fractional factorial experiment interprets the most straightforwardly.
选项:
A:正确
B:错误
答案: 【错误
分析:【One-factor-at-a-time stratagy interprets straightforwardly.

9、 问题:Replication reflects sources of variability only within runs.
选项:
A:正确
B:错误
答案: 【错误
分析:【Replication reflects sources of variability both between runs and (potentially) within runs, whereas repeated measurement reflects that within runs.

10、 问题:Experiments are used to study the performance of a process or system.
选项:
A:正确
B:错误
答案: 【正确

【作业】Chapter 1 Introduction Chapter 1 Homework

1、 问题:What are the basic principles of experimental design?
评分规则: 【 Randomization
Replication
Blocking

2、 问题:What are the advantages of repeated measurement?
评分规则: 【 First, it allows the experimenter to obtain an estimate of the experimental error.
Second, if the sample mean is used to estimate the true mean of response for one of the factor levels in the experiment, replication permits the experimenter to obtain a more precise estimate of this parameter.

3、 问题:What are the disadvantages of the best-guess approach?
评分规则: 【 The best-guess approach has at least two disadvantages. First, suppose the initial best-guess does not produce the desired results. Now the experimenter has to take another guess at the correct combination of factor levels. This could continue for a long time, without any guarantee of success.
Second, suppose the initial best-guess produces an acceptable result. Now the experimenter is tempted to stop testing, although there is no guarantee that the best solution has been found.

Chapter 4 Randomized Blocks and Latin Squares Chapter 4 Test

1、 问题:For unknown and uncontrollable nuisance factors, ( ) can be used to eliminate its effect.
选项:
A:Covariance analysis
B:Randomization
C:Block design
D:Orthogonalization
答案: 【Randomization

2、 问题:What does “Randomization” mean in a randomized complete block design(RCBD)?
选项:
A:Within a block, the sequence of experiments for all treatments is randomized.
B:Throughout the experiment, the selection of each block is randomized.
C:Within a block, the number of times each treatment appears is randomized.
D:Throughout the experiment, all the numbers appeared are randomized.
答案: 【Within a block, the sequence of experiments for all treatments is randomized.

3、 问题:When period becomes a factor in an experiment, ( ) can be chosen to perform?
选项:
A:Factorial design 
B:Parallel design
C:Crossover design
D:Replicate design
答案: 【Crossover design

4、 问题:In a Graeco-Latin Square design, if there are four factors each with p levels, how many experiments need to be done?
选项:
A:
B:
C:
D:
答案: 【

5、 问题:In a randomized complete block design, we have  treatments to compare and  blocks with significant level α, and the test statistic is  . When ( ), reject the null hypothesis that the treatment means are equal.
选项:
A:
B:
C:
D:
答案: 【

6、 问题:In a Latin Square designs, if a standard 5×5 Latin square is used, the quantity of standard  Latin squares is ( )
选项:
A:25
B:50
C:55
D:56
答案: 【56

7、 问题:In an experiment, what can be possible nuisance factors?
选项:
A:An experimental instrument or machine
B:The batch of raw materials
C:Experimenter 
D:Experimental time
答案: 【An experimental instrument or machine;
The batch of raw materials;
Experimenter ;
Experimental time

8、 问题:In a complete randomized block design, the total sum of squares    can be written as the sum of the following ( )
选项:
A:
B:
C:
D:
答案: 【;
;

9、 问题:In a randomized complete block design, block represents a randomization constraint, so  is not a meaningful statistic in comparing blocks.
选项:
A:正确
B:错误
答案: 【正确

10、 问题:In a randomized complete block design, “complete” means each block (sample) contains all treatments.
选项:
A:正确
B:错误
答案: 【正确

Chapter 2 Simple comparative experiments Chapter 2 Test

1、 问题:In the two-sample t test, the null hypothesis is that the two samples are equal, and the alternative hypothesis is that the two samples are not equal, and the significance level is α. What quantile should the test statistic t0 be compared with?
选项:

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