Question

Lesson: -Factorial designs have more than one independent variable or factors. -A two way factorial design...

Lesson:

-Factorial designs have more than one independent variable or factors.

-A two way factorial design has two independent variables, a three-way factorial design has three independent variables and so forth.

-A 2x2 design has two factors and two levels of each.

-A 2x3 design also has two factors but one has two levels and one has three.

-A 3x3 design has two factors and each factor has 3 levels.

Each example has 2 independent variables or factors.

Comparison of two training programs

2x2 design

The first independent variable is method of instruction.

Video instruction/instruction manual.

The second independent variable is length of time

Fixed time/Self-regulated time.

The dependent variable = test scores.

I can make this a 2x3 design by adjusting the time to 1 hour/2hour/self-regulated.

Effects:

As you set up the factorial design, the predictions are expressed in the form of expected main effects and interactions.

Video Instruction

Manual

Overall Means

Timed

22

18

20

Self regulated

18

14

16

Overall Means

20

16

The difference between the two columns means is called the main effect for the mode of presentation. The difference between the means on each row is the main effect for overall timing.

Interactions:

An interaction occurs when two factors acting together produce mean differences that are not explained by the main effects of the two factors.

If we graph our data and the lines that are parallel to each other there is no interaction.

Use statistical analysis to determine if accurate, averages are not 100%

Assignment – EPA - Factorial Designs

Definition- Interactions: An interaction occurs when two factors acting together produce mean differences that are not explained by the main effects of the two factors.

You have duplicated the experiment that we just performed. Your results look like this.

M=20 M=20

M=10 M=10

1. Complete the chart and graph the data.

2. Describe the main effect? Is there an interaction?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Answer to the question)

Column1 Column2 Overall mean 20 10) 15 20 10) 1% 40 30 20 | ← 10 20 10) Row2 Overall mean There is no change from one column to another Two Levels of Factor A Factor B hence there is no column main effect There is change in vlues from one row to another Hence there is row main effect Since the two lines do not intersect this implies there is no interaction effect

Add a comment
Know the answer?
Add Answer to:
Lesson: -Factorial designs have more than one independent variable or factors. -A two way factorial design...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • QUESTION 44 In a two way ANOVA, how many effects (main effects and interaction) are tested?...

    QUESTION 44 In a two way ANOVA, how many effects (main effects and interaction) are tested? a. 4 b. 1 c. 3 d. 2 2 points    QUESTION 45 Main effects are defined as the effect of ______. a. one independent variable on the dependent variable that changes at the different levels of another independent variable b. the dependent variable on the independent variable within a factorial research design c. an independent variable on the dependent variable within a factorial...

  • Chapter 10 Questions 11. What is a factorial research design? Give two advantages of a factorial...

    Chapter 10 Questions 11. What is a factorial research design? Give two advantages of a factorial research design over doing two separate studies. 12. In a factorial design, what is a main effect? What is an interaction effect? 13. Answer the following questions with the results for a fictional study of the effects of vividness and length of examples (the grouping variables) on number of examples recalled (the measured variable). Vividness Short Long Overall Describe the pattern of results in...

  • One of the major learning objectives of this chapter is to define a factorial research design,...

    One of the major learning objectives of this chapter is to define a factorial research design, including the terms factor and level, and to identify and describe factorial designs when they appear in a research report. The goal of experiments is to establish the existence of a cause-and-effect relationship between two variables. To accomplish this goal, the researcher manipulates one variable (that is, the independent variable) and measures a second variable. Nonexperiments and quasi-experiments are similar to experiments except that...

  • Factorial designs a) Are generally not appropriate for experimental research b) Measures a single independent variable...

    Factorial designs a) Are generally not appropriate for experimental research b) Measures a single independent variable in depth c) Require an increase in sample size if a pretest is used d) Allow for generalization across variables with an interaction effect is present

  • Part A:For a three-way factorial ANOVA, how many interactions will be included in the ANOVA table?...

    Part A:For a three-way factorial ANOVA, how many interactions will be included in the ANOVA table? A. 6 B. 5 C. 7 D. 4 E. 3 Part B: In ANOVA, the interaction of two variables is certainly present when A. the difference between means across levels of one variable varies across levels of the other variable. B. the two variables are negatively correlated. C. the two variables are positively correlated. D. the main effects do not account for all of...

  • 5. (a) Consider a hypothetical two-way layout with three factors (A, B, C) each at two levels (I,...

    5. (a) Consider a hypothetical two-way layout with three factors (A, B, C) each at two levels (I, II). Construct a table of cell means for which there is no interaction. (b) (Rice 12.5.12) Again consider a hypothetical two-way layout with three factors (A, B, C) each at two levels (I, II). Is it possible for there to interactions but no main effects? Describe the difference between interaction and main effects in your explanation 5. (a) Consider a hypothetical two-way...

  • Is there more than one independent variable in a mixed subjects factorial research design?

    Is there more than one independent variable in a mixed subjects factorial research design?

  • Interactions: a. occur when the effect of one factor on the dependent variable is independent of...

    Interactions: a. occur when the effect of one factor on the dependent variable is independent of the level of other factors b. occur only in one-way ANOVA tests c. indicate the effect of one factor on the dependent variable is the same regardless of the level of the other factors d. indicate patterns of differences in means that could not be guessed from the main effects alone

  • Consider the following experiment of the effects of eight factors on the taste of a 1985 Pinot No...

    just for part b c e Consider the following experiment of the effects of eight factors on the taste of a 1985 Pinot Noir, as assessed by a panel of five experts. Each expert ranked the sixteen samples of wine, with rank "1" denoti the best and "16" the worst. The final outcome for a treatment- level combination is the average rank for that particular wine over all the experts, which we shall treat as a continuous outcome. Descriptions of...

  • e is molecular weight. The engineer has used the following four factors cated 24 factorial experiment...

    e is molecular weight. The engineer has used the following four factors cated 24 factorial experiment has been run in a chemical process. The response variabl factor coded levels (x's) natural levels 30, 40 (minutes 100, 150 (deg C) 8. 12 (g min) 40,60 (percent) 1. 1 time B temperature C-feed rate D - concentration 1, 1 40 B -36.C After conducting the experiment, the engineer finds that three of the main effects and one of the interactions are large...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT