Public Grooming

1.0 INTRODUCTION

People have always had this habit of publicly grooming themselves without bothering what other people might say about them. This kind of behavior has been very much evident in almost everybody that we became immune to it. We have lived with it for a long time that we don't even notice the fact that we are actually spending most of our time grooming ourselves, publicly.

1.1 Objective of the Experiment

This study aims to determine the effect of gender, age, and the time of the day on the behavior of public grooming.

1.2 Scope and Limitations

This experiment involved the students, teachers, and other people who pass by Melchor Hall and NEC. Since the subjects chosen were mostly from the College of Engineering, the result of this study does not represent the whole UP population. Therefore the result is not an accurate generalization of the entire UP population.

1.3 Significance of the Experiment

Through the results of this experiment we were able to explain how the three factors under study affect people's public grooming. We were also able to determine who are the people that has more tendency to groom themselves publicly.

1.4 Assumption

It was assumed that if a person looks at the one-way silver tinted glass for at least 5 seconds it is already considered grooming.

1.5 Methodology

A car with one-way silver tinted glass was parked between Melchor Hall and NEC. Data were collected twice a day, morning and afternoon, 30 minutes each for one week. People who looked at their reflection on the one-way glass for at least 5 seconds were counted, and those who did not were also noted to get the percentage of the observation. Data were then specified according to gender (male or female), age group (below 25, 25 to 40, or above 40), and the time of the day (morning or afternoon). The gathered data will be evaluated using the Three-Factor Analysis of Variance and Test of Hypothesis.

2.0 PROBLEM STATEMENT

This study aims to determine if gender, age, and time of the day affect the public grooming behavior of people.

3.0 FACTORS UNDER STUDY

The factors under study are the gender and age of the person and the time of the day he groomed himself in public.

4.0 RESPONSE VARIABLE

The response variable is the number of subjects in the sample. The percentage of the observation was determined. And they are then grouped under the three different factors.

5.0 EXPERIMENTAL DESIGN

5.1 Choice of Sample Size

5.2 Mathematical Model

The model used here is Three Factor Analysis of Variance (ANOVA). The model tried to determine if the factors (gender, age, and time of day) and their interaction with each other have any significant effect to the public grooming behavior of the population.

To get the test statistics ANOVA table was used.

Sources of Variation Degrees of Freedom Sum of Squares Mean Square Computed f

Time of Day (A) (a-1) SSA SSA / (a-1) MSA / MSE

Gender (B) (b-1) SSB SSB / (b-1) MSB / MSE

Age (C) (c-1) SSC SSC /(c-1) MSC / MSE

AB (ineteraction) (a-1)(b-1) SSAB SSAB / (a-1)(b-1) MSAB /MSE

AC (interaction) (a-1)(b-1) SSAC SSAC / (a-1)(c-1) MSAC / MSE

BC (interaction) (b-1)(c-1) SSBC SSBC /(b-1)(c-1) MSBC / MSE

ABC (interaction) (a-1)(b-1)(c-1) SSABC SSABC/ (a-1)(b-1)(c-1) MSABC / MSE

Error abc(n-1) SSE SSE / abc(n-1)

TOTAL Abcn - 1 SST

To get the values for the above table, the following formulas were used :

SSA = [( yI)/bcn] Ð'- [(y)2 / N ]

SSB = [( yj)/acn] - [(y)2 / N ]

SSc = [( yk)/abn] - [(y)2 / N ]

SSAB = [(yij)/cn] - [(y)2 / N ]

SSAC = [( yik)/bn] - [(y)2 / N ]

SSBC = [( yjk)/an] - [(y)2 / N ]

SSABC = [( yijk)/n] - [(y)2 / N ]

SST =  yijkl - [(y)2 / N ]

SSE = SST Ð'- SSA Ð'- SSB Ð'- SSB Ð'- SSAB Ð'- SSAC Ð'¬Ð'- SSBC - SSABC

The resulting Sum of Squares values were divided by their corresponding degrees of freedom. Then the calculated F were compared to the f-distribution to determine if the factor concerned follows the null hypothesis.

6.0 DATA COLLECTION

DATA (See Appendix)

H0 : I = 0 for all i

j = 0 for all j

k = 0 for all k

()ij = 0 for all i and j

()ik = 0 for all i and k

()jk = 0 for all i and k

()ijk = 0 for all I, j and k

 where i = 1,2

j = 1,2

k = 1,2,3

H1 : I  0 for at least one i

j  0 for at least one j

k  0 for at least one k

()ij  0 for at

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