MCQs about the Design of Experiments Objective Questions for the preparation of PPSC, FPSC Lecturer Statistics job, and BS, M.Phil, Ph.D. Statistics Degree Programs. Let us start with the Design of Experiments Objective Questions quiz.

Multiple Choice Questions about Design of Experiments.

Planning an experiment to obtain appropriate data and drawing inferences from the data concerning any problem under investigation is known as the design and analysis of the experiments.

An experiment deliberately imposes a treatment on a group of objects or subjects to observe the response. The experimental unit is the basic entity or unit on which the experiment is performed. It is an object to which the treatment is applied and the variable under investigation is measured and analyzed.

**Single-Factor Design: **In a single-factor experiment only a single factor varies while all others are constant. The CRD, RCBD, and LSD are examples of single-factor designs.

**Multi-Factor Design: **Multi-factor designs are also known as factorial experiments. When several factors are investigated simultaneously in a single experiment, such experiments are known as factorial experiments.

**Systematic Designs:** In systematic designs treatments are applied to the experimental units by some systematic pattern, i.e., by the choice of the experimenter. For example, the experimenter wishes to test three treatments and he decides to have four repetitions of each treatment.

**Randomized Designs:** In randomized designs, as the treatments are applied randomly, therefore the conclusions drawn are supported by statistical tests. In this way, inferences are applicable in a wider range and the random process minimizes the systematic error. The analysis of variance techniques is also suitable for randomized designs only.

The purpose of the Design of Experiments is:

- Get maximum information for minimum expenditure in the minimum possible time.
- Helps to reduce the experimental error.
- To ignore spurious effects, if any.
- To evaluate and examine the outcomes critically and logically.

**Design of Experiments Objective Questions**

- Which one provides the estimate of experimental error in the design of the experiment
- There are – – – – – – – – basic principles of sound statistical design.
- If the experimental material is not homogenous and there is one source of variation in the experiment then we use
- An experiment is performed in CRD with 3 replications to compare four treatments. Then, the total experimental units will be
- An experiment is performed in CRD with 3 replications to compare four treatments, then what will be the degrees of freedom for error?
- An experiment is performed in CRE with 3 replications to compare four treatments. The treatment sum of squares = 8. If the error sum of square = 12 then what will be the total sum of square?
- An experiment is performed in CRD with 3 replications to compare four treatments. The treatment sum of squares = 9. If the error sum of squares = 12 then what will be the mean sum of squares for treatment?
- What will be the F ratio if an experiment is performed in CRD with 3 replications to compare four treatments? The treatment mean sum of squares = 96, error mean sum of squares = 12.
- Analysis of variance is a statistical method of comparing the – – – – – – – – of several populations.
- To test the hypothesis about one population variance, the test statistic will be – – – – – – -.
- Under one-way variability in environmental conditions, the appropriate design for experimenting will be – – – – – – – -.
- The scientific method for the construction of a statistical layout plan for an experiment is – – – – – -?
- Manova stands for
- For a $7 \times 7$ Latin Square Design, there will be ___________ observations.
- The experiment is performed on
- The random process of assigning treatments to the experimental units can be done by
- In systematic designs, the treatments are applied to the experimental units by some
- Planning an experiment to obtain appropriate data and drawing inferences out of the data for any problem under investigation is known as ___________
- One of the purposes of experimental design is to
- What will be a degree of freedom (df) for column-wise blocking in $5 \times 5$ Latin Square Design?

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