Business Statistics Exercise on Stroop Interference

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    Business Statistics Exercise OnStroop Interference

    By:

    Sourav

    Rupesh

    Prabhu

    Arunav

    Group:7

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    What is Stroop Interference

    In psychology, the Stroop effect is a demonstration of the reaction time of atask. When the name of a color (e.g., "blue," "green," or "red") is printed in

    a color not denoted by the name (e.g., the word "red" printed in blue inkinstead of red ink), naming the color of the word takes longer and is moreprone to errors than when the color of the ink matches the name of thecolor. The effect is named after John Ridley Stroop who first published theeffect in English in 1935.

    The effect had previously been published in Germany in 1929. The original

    paper has been one of the most cited papers in the history of experimentalpsychology, leading to more than 700 replications. The effect has been usedto create a psychological test (Stroop Test) that is widely used in clinicalpractice and investigation.

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    Q.Compute the mean and standard deviation for Shape 1,

    2 and 3.

    To Calculate Mean and Standard Deviation For Shape 1:

    To calculate mean for shape 1:Mean = X/N (or) = x/nMean =(14+17+17+16.21+15)/47=16.085

    To calculate standard deviation for shape 1:

    Standard Deviation == 3.972

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    To Calculate Mean and Standard Deviation For Shape 2:

    To calculate mean for shape 2:Mean = X/N (or) = x/n

    Mean =(17+18+15+20.30+20)/47= 20.234

    To calculate standard deviation for shape 1:

    Standard Deviation =

    = 3.731

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    To Calculate Mean and Standard Deviation For Shape 3:

    To calculate mean for shape 3:Mean = X/N (or) = x/n

    Mean =(38+58+35+.49+37)/47= 36.596

    To calculate standard deviation for shape 1:

    Standard Deviation =

    = 7.421

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    Q.Create parallel box plots for males and females for

    Colors.

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    Q.Create a scatterplot showing "color" on the Y-axis and "words" on

    the X-axis.

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    Q.Do a t test comparing males and females on "color."

    1. Hypothesis.

    2. =0.05

    3. For df=45

    4.

    =3.47

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    =0.329

    =(19.194-22.250)/0.329

    =-9.29

    5. we reject and accept

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    Q.Do a t-test of the difference between "colors" and

    "interference."

    1.Hypothesis.

    2.Level of Significance =0.05

    3.Test criterion

    Reject if or

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    4. Calculate Z

    =13.51

    5.Decision. Z>1.96 Reject ; accept

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    Q.Compute the 95% confidence interval for "interference."

    Standard Deviation=7.421

    =1.083

    we take 95% confidence interval so z score =1.96

    so =1.96*1.083

    = 2.12072

    ==

    Standard Error :

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    Q.Do an ANOVA to see if gender and shape affect reaction

    time.

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    After conducting Post Hoc analysis through Tukeys HSD :

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    Observation

    The statistics have proved that all the 3 shapes

    have a significant impact on the reaction time.This helps prove the Stroop Interference theory.

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