An educational psychologist is examining response times to an on-screen stimulus. The researcher believes there might be a weak effect from age, but expects a more pronouncedeffect for different color contrasis. She decides to examine a black on white (B/W) combination compared to 2 alternatives: red on white (R/W) and yellow on blue (Y/B). Here is thedata for response times (in milliseconds):Color SchemeB/WR/WY/B32202544352134104416-172123202121244211725151915253523384718392230Age 18-1936173715143820402819262820-21382619Using MS Excel, conduct a 2-wày ANOVA with a = 0.05. Fill in the summary table: Pvalues should be accurate to 4 decimal places and all other values accurate to 3 decimalplaces.FratioPartialSourcedfMSPvalueAge (A)Color (BInteraction (A x B)24Crror63Provide the conclusions for this 2-way ANOVA.What is the conclusion regarding the main eflect for age (A or rows:OThere appears to be an effect due to age.O There is not enaugh evidence to reject the assumption that the marginal means across age groups are equal.What is the conclusion regarding the main eflect for color (Ber columnstOThere appears to be an effect due to color.O There is not enough evidence to reject the assumption that the marginal means across color groups are equal.What is the conclusion regarding an interaction eflect between age and color (A x B:O There appears to be an interaction effect between age and color.O There is not enaugh evidence to reject the assumption af a lack of an interaction.

(a). What is the conclusions regarding the main effect for age: The two factors are: Age and Colour scheme. The conclusions regarding the main effect of age or not. The hypotheses to be tested are: Null hypothesis: H01: There is no main effect of age. Alternative hypothesis: Ha1: There is a main effect of age. The test is conducted here by using EXCEL. Software procedure: The step-by-step procedure to conduct the 2 -way ANOVA test is given below: Enter the data in EXCEL sheet. Select Data > Data Analysis > ANOVA: Two- factor With Replication> OK. In Input Range enter $A$1:$D$25. In Number of rows per sample enter Click on Labels in First Row. Click OK. The output using EXCEL is as follows: From the obtained output, the P-value for the factor Age is 0.0441, which is less than level of significance, α = 0.05. So, there is a significant difference in the means of Age at α = 0.05.(b). What is the conclusions regarding the main effect for colour: The conclusions regarding the main effect of colour or not. The hypotheses to be tested are: Null hypothesis: H01: There is no main effect of colour. Alternative hypothesis: Ha1: There is a main effect of colour. From the obtained output, the P-value for the factor Colour schemes is 0.0219, which is less than level of significance, α = 0.05. So, there is a significant difference in the means of colour schemes at α = 0.05. (c). What is the conclusions regarding the interaction effect between age and colour: The conclusions regarding the interaction effect between age and colour. The hypotheses to be tested are: Null hypothesis: H01: There is no interaction effect between age and colour. Alternative hypothesis: Ha1: There is an interaction effect between age and colour. From the obtained output, the P-value for the factor Colour schemes is 0.0232, which is less than level of significance, α = 0.05. So, there is a significant difference in the means of interaction effect between age and colour at α = 0.05.

Math

Statistics

An educational psychologist is examining response times to an on screen stimulus. The researcher believes there might be a weak effect from age, but expects a more pronounced effect for different color contrasts. She decides to examine a black on white (B/M) combination compared to 2 alternatives: red on white (RW) and yellow on blue (Y/B). Here is the data for response times (in milliseconds):

An educational psychologist is examining response times to an on screen stimulus. The researcher believes there might be a weak effect from age, but expects a more pronounced effect for different color contrasts. She decides to examine a black on white (B/M) combination compared to 2 alternatives: red on white (RW) and yellow on blue (Y/B). Here is the data for response times (in milliseconds):

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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