Design Of Experiments MCQ

Question 1 : Which of the following statements is correct about interactions?

1. They are enhancements of the effect.
2. They are additive effects.
3. They are spurious effects.
4. They occur only in interaction with organismic dependent variables.

Question 2 : The objective of Response surface methodology is to _____________

1. Maximize the response
2. Minimize the response
3. Optimize the response
4. Neglect the response

Question 3 : In field experiments certain factors may require _____ plots than for others.

1. Lesser
2. Same
3. Larger
4. Small

Question 4 : A factor with a range of settings, that is controlled by the user during use is called as -

1. random factor
2. robust factor
3. nominal factor
4. signal factor

Question 5 : The test for significance of regression is attest to determine whether a linear relationship exists between the response variable y and a subset of the regressor variables x1, x2, …..xk. The appropriate hypothesis are ______.

1. H0 : b1 = b2 = ….. = bk = 0 H1 : bj ¹ 0 ……… for at least one j.
2. H0 : b1 = b2 = ….. = bk = 1 H1 : bj = 0 ……… for at least one j.
3. H0 : b1 = b2 = ….. = bk = -1 H1 : bj = 0 ……… for at least one j.
4. H0 : b1 = b2 = ….. = bk = 1 H1 : bj ¹ 1 ……… for at least one j.

Question 6 : Which of the following is a statistical consideration in conducting experiments?

1. statistically valid sample size should be used
2. parts should be tagged during tests
3. variable data should be used
4. attribute data should be used

Question 7 : The main difference between traditional Design of Experiments and Taguchi's Design of Experiments is -

1. Taguchi's DoE considers average to be more interesting to study than the variation
2. Taguchi's DoE considers statistics to study variation
3. Taguchi's DoE considers attribute data to study variation
4. Taguchi's DoE considers variation to be more interesting to study than the average

Question 8 : What must we include when reporting an ANOVA?

1. Standard deviation, degrees of freedom, Margin
2. Degrees of freedom, Standard deviation, Means
3. Means, Standard deviation, Margin
4. Margin, degrees of freedom, Means

Question 9 : Each main plot is divided into subplots depending on the number of _______.

1. Sub plot treatments
2. Pre plot treatments
3. Post plot treatments
4. Modified plot treatments

Question 10 : Consider the equation used for estimation of parameters in Linear regression models . In this equation the size of the matrix X is___.

1. n x p
2. P x n
3. k x p
4. p x k

Question 11 : In the two one-half fractions 2k design the two factor interactions are given by ______.

1. [BC] = 0.5 (a + b - c + abc) [AC] = 0.5 (-a + b – c + abc) [AB] = 0.5 (-a + b + c + abc)
2. [BC] = 0.5 (a – b - c + abc) [AC] = 0.5 (-a + b – c + abc) [AB] = 0.5 (-a – b + c + abc)
3. [BC] = 0.5 (a – b - c - abc) [AC] = 0.5 (-a + b – c - abc) [AB] = 0.5 (-a – b + c - abc)
4. [BC] = 0.5 (-a + b - c - abc) [AC] = 0.5 (-a + b – c - abc) [AB] = 0.5 (-a + b + c - abc)

Question 12 : Designs in which more than one variable are studied simultaneously are called __________ designs.

1. factorial
2. sum of squares
3. two tailed
4. replicate

Question 13 : What will be the correct sequence of DOE to understand the process settings ?

1. Interpret result-Perform Experiments-Prediction model-optimize the function
2. Perform experiments-Interpret Result-Prediction model-optimize the function
3. Perform experiments-Interpret result- optimize the function- Prediction model
4. Perform experiments-Prediction Model-Interpret result- optimize the function

Question 14 : A procedure for moving sequentially in the direction of maximum decrease in the response is called __________ and used for ___________ .

1. Method of steepest ascent, maximization
2. Method of steepest ascent, minimization
3. Method of steepest descent, minimization
4. Method of steepest descent, maximization

Question 15 : Consider the equation used for estimation of parameters in Linear regression models . In this method equation for evaluation of is ____.

Question 16 : Factorial designs _______.

1. include no more than one research hypothesis.
2. cannot test participants across more than one condition.
3. contain more than one null hypothesis.
4. are ineffective when matched participants are included.

Question 17 : For a 2k-1 design with defining relation I=ABC, the experimenter wants to consider main effects and two-factor interaction effects; the alias matrix will be

Question 18 : Which of the following is an example of Taguchi's three level design?

1. L4
2. L8
3. L12
4. L27

Question 19 : Which of the following typically generate negative information about which factors do not make a difference in the quality characteristic of interest?

1. sample data sets
2. attribute data sets
3. bad data sets
4. good data sets

Question 20 : Consider the mathematical model y = f (x, z); Now determining the x variability so that the effects of the uncontrollable variables are minimized is called ____.

1. Process optimization
2. Robust design
3. Process control
4. Process characterization

Question 21 : A continuous form of data is called as-

1. attribute data
2. variable data
3. discontinuous data
4. sample data

Question 22 : Which of the following S/N ratio you will choose for defects?

1. smaller the better
2. larger the better
3. nominal the best
4. optimum the better

Question 23 : The method of steepest ascent is a procedure for moving sequentially in the.

1. direction of the average increase in the response
2. direction of the minimum increase in the response
3. direction of the maximum increase in the response
4. Direction perpendicular to the maximum increase in the response

Question 24 : The design in which no main effect is aliased with any other main effect, or with any two-factor interaction, but two-factor interactions are aliased with each other are called _____.

1. Resolution VI design
2. Resolution V design
3. Resolution IV design
4. Resolution III design

Question 25 : What is the appropriate statistical test for a factorial design?

1. the Modes test
2. ANOVA
3. t-test
4. chi-square