Introduction to DOE Questions

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McMaster University *

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3J03

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Psychology

Date

Dec 6, 2023

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pdf

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Uploaded by kageyamatobio9

MATLS 3J03 (Fall 2023) 1 Introduction to DOE Class Problems 1. For a psychology study, you are designing an experiment to measure the cognitive performance of a group of volunteers. Name the following as either a categorical or numeric factor in the experiment a. Time elapsed since last meal: b. Level of background noise: c. Scanning a Twitter feed while working or having the device off: 2. Your company does marketing to customers on their mobile phones (e.g. sends SMS, displays advertising inside an app). You are running an advertising campaign. Which variables are quantitative and which are qualitative? a. Use (a blue background with white text) or (a black background with yellow text): b. Display the advertising in the morning or evening: c. Use 120 or 180 characters in your message: d. Display the message only to people in the city area, or people in rural areas: 3. What would be an outcome for experiments described in question 2: 4. What would be an objective for experiments described in question 2: 5. A friend has been making yogurt at home to create a tasty and economical alternative to commercial yogurts. He designs a simple two-factor experiment to optimize the taste of his

MATLS 3J03 (Fall 2023) 2 yogurt. He creates four batches of yogurt according to a DOE framework, varying the fat content of the starter yogurt used (0% or 2%) and the fermentation time [i.e. time of bacterial activity (10 hours or 16 hours)]. He rates the taste of each batch on a scale of 1 to 10. The cube plot below shows the taste rating he has given each experiment: a. Superimpose contour lines on this cube plot. b. What is the average effect of the fat content of the starter yoghurt? c. What is the average effect of the time to ferment (time of bacterial activity)? 6. In a bread-making experiments, the following factors were varied: A. either sugar or a sweetener was used

MATLS 3J03 (Fall 2023) 3 B. either 20°C water or 30° water was used The response was the rise-height of dough [in mm]. a. What is the average effect of the sugar? b. What is the average effect of the water temperature?

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