Design of experiment

One-Way ANOVA: Seminar Evaluation Scores by Manager Level

A management consulting company presents a 3-day seminar on project management to various clients. The seminar is basically the same each time it is given. However, sometimes it is presented to high-level managers, sometimes to mid-level managers, and sometimes to low-level managers. The seminar facilitators believe evaluations of the seminar may vary with the audience. Suppose the following data are some randomly selected evaluation scores from different levels of managers after they have attended the seminar. The ratings are on a scale from 1 to 100, with 100 being the highest score. Use a one-way ANOVA to determine whether there is a significant difference in the evaluation according to manager level. The following table gives the scores to the various clients due to different manager levels.

$$\begin{array}{|c|c|c|c|} \hline & \text{High Level} & \text{Mid Level} & \text{Low Level} \ \hline & 85 & 90 & 55 \ & 75 & 100 & 75 \ & 85 & 95 & 80 \ & 60 & 85 & 75 \ & 70 & 90 & \ & & 75 & \ \hline \end{array}$$

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Design of Experiments Question

What do you understand by 'Design of an Experiment'? Physicians depend on laboratory test results when managing medical problems such as diabetes or epilepsy. In a uniformity test of glucose tolerance, three different laboratories were sent $n_t = 5$ identical blood samples from a person who had drunk 50 mg of glucose dissolved in water. The laboratory results are listed below: Do data indicate a difference in the average readings for three laboratories? Use $\alpha = 0.05$.

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Statistical Test for Computer Lifetime Across Brands

There are three brands of computers namely Dell, Lenovo, and HP. The following are the lifetime of 15 computers in years. Apply appropriate statistical tests to identify whether the average lifetime (in years) is significantly different across three brands of computers at a 5% level of significance. You can again tabulate the data initially in the required format for statistical analysis.

$$\begin{array}{|c|c|c|} \hline \text{Serial Number} & \text{Computer Brand} & \text{Lifetime in years} \ \hline 1 & \text{Dell} & 15 \ 2 & \text{Lenovo} & 10 \ 3 & \text{HP} & 9 \ 4 & \text{Dell} & 12 \ 5 & \text{Lenovo} & 6 \ 6 & \text{HP} & 7 \ 7 & \text{Dell} & 4 \ 8 & \text{Lenovo} & 8 \ 9 & \text{HP} & 13 \ 10 & \text{Dell} & 11 \ 11 & \text{HP} & 5 \ 12 & \text{Lenovo} & 7 \ 13 & \text{Dell} & 3 \ 14 & \text{HP} & 5 \ 15 & \text{Lenovo} & 4 \ \hline \end{array}$$

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What do you understand by design of experiments? Give the layout of a Latin Square Design. Explain why the number of treatments tested in a Latin Square Design should not be less than 3? [5]

What is Latin Square Design? Under what conditions can this be used? Give lay out and analysis of Latin Square Design.[10]

State the mathematical model for Statistical analysis for m x m LSD for one observation per experimental unit. Also prepare a dummy ANOVA table for this. [5]

Latin Square Design (LSD) - Concepts, Conditions, and Analysis

Latin Square Design

ANOVA Table Completion and Analysis

What do you understand by Design of Experiment? Prepare one way analysis of variance table and carry out the test for the significance of difference in the average yields between different varieties of seed. Given: Total sum of squares = 258, Sum of square between varieties of seed = 50, Total number of observations = 20 [5]