Business Finance - Management Assignment 8.1

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DataHomeworkFall20217.xlsx

Data Coded(Form Responses)

Data Entry Code Book
Why did you become a recreation major? When did you decide to be a rec major? How many of your 1000 fieldwork hours have you completed? What track are you taking? How excited are you about being a Recreation Major? How long have you been enrolled at CSULB? Are you a Male or a Female? Do you currently work in recreation? Question # Variable Variable Label Variable Label
5 2 1000 2 5 1 1 1 1 Why Rec Major? Advisor 1
4 2 0 1 5 1 1 2 Class 2
2 4 800 3 4 2 1 1 Friend 3
3 4 800 3 4 2 1 1 Instructor 4
3 4 1000 3 5 2 2 1 Work Experience 5
5 4 0 6 3 2 2 1
1 1 0 3 4 2 1 2 2 When Rec Major? Advisor 1
5 2 1000 3 5 2 1 2 Transferred 2
3 2 100 6 4 2 1 2 Birth 3
5 2 1000 3 4 2 2 2 No Success elsewhere 4
2 2 50 5 3 2 2 2
3 2 0 3 5 3 1 1 4 What track? Campus Rec 1
5 1 700 4 4 3 1 1 Community 2
1 1 860 1 3 3 2 1 Lame-O 3
1 4 200 5 5 3 1 2 Outdoor 4
1 2 1000 6 3 3 1 2 Rec Therapy 5
3 1 100 6 4 3 1 2 Travel/Tourism 6
5 4 700 6 5 3 1 2
5 4 1152 2 5 4 1 1 7 Sex Female 1
5 1 1000 3 5 4 1 1 Male 2
1 4 900 5 4 4 1 1
5 3 1000 2 5 4 2 1 8 Work in Rec? Yes 1
1 4 0 3 3 4 2 1 No 2
2 2 0 5 5 4 1 2
5 4 1300 6 4 4 2 2
1 4 800 5 4 5 1 1
4 4 1000 5 5 5 1 1
5 3 1000 4 5 5 1 2
1 4 500 5 5 5 1 2
4 4 200 5 5 5 1 2
1 1 300 4 4 5 2 2
2 1 100 6 4 6 1 1

Chi Square

Difference between means (two or more nominal variables) - Chi Square Test
Is there a relationship between Gender and whether someone works in REC or not? Test Statistic used = Chi Square Because we have two NOMINAL level variables Can also use ORDINAL level variables YouTube Link to remind you how to do this: http://bit.ly/ChiSquareExcel
Example
Frequency Table of Observed Scores
Men Women Total Percent
Work in REC 5 11 16 50.00%
Not working in REC 4 12 16 50.00%
Total 9 23 32
Expected-Work If there were no difference between gender and working in rec, we would expect about 50% of men be working in REC this is calculated by total # of men x % of population work in REC = 9 x 50% 4.50 11.50 Expected- Same thing for women: if there was no relationship; we would expect 50 of women to work in rec = 23 x 50.0% Steps to calculate Chi-square using Excel: 1. Code data/survey results 2. Make a frequency distribution table of observed scores 3. Calculate expected scores if there were no relationship for each variable 4. Search for the Chi Test function 5. Select observed (actual) range of scores. 6. Select expected range of scores
Expected- No Work- If there were no relationship between gender not working in rec; we would expect about 50% of men to transfer; this is calculated by total # of men x % of population that does not work in rec 4.50 11.50 Expected-If there was no relationship we would expect about 51% of women to not be working in rec = 23 x 50% Answer 0.69 p > .05 No relationship between gender and whether someone works in recreation
Practice
Is there a relationship between Gender and which track people report they are in? Test Statistic used = Chi Square Because we have one NOMINAL level variable And 5 Nominal/Categorical variables
Step 1: Create a frequency table of observed scores for gender and track
Observed Scores Men Women Total Percent
Campus Rec 1 2 3 9%
Community 1 1 2 6%
Lame-O 0 1 1 3%
Outdoor 2 2 4 13%
Rec Therapy 1 2 3 9%
Travel/Tourism 4 15 19 59%
Total 9 23 32 100%
Expected Scores Men Women
Step 2: Calculate Expected scores- if there were no relationship between gender and track 9 × 3/32 = 0.84 → If there were no difference between gender and track, we’d expect 9.4% of men in this track 0.84 2.16 23 × 3/32 = 2.16 → Same for women, we’d expect 9.4% of women in this track
Step 3: Search for the Chi Test function 9 × 2/32 = 0.56 → If no difference existed, we’d expect 6.3% of men in this track 0.56 1.44 23 × 2/32 = 1.44 → Same for women, 6.3% would be in this track
Step 4: Select Observed scores for Array 1 9 × 1/32 = 0.28 → If no difference existed, 3.1% of men would be in this track 0.28 0.72 23 × 1/32 = 0.72 → Same for women, we’d expect 3.1% in this track
Step 5: Select Expected scores for array 2 9 × 4/32 = 1.13 → If no difference, we’d expect 12.5% of men in this track 1.13 2.88 23 × 4/32 = 2.88 → Same for women, we’d expect 12.5% in this track
Step 6: Make Determination if there is any significant difference based on p value. 9 × 3/32 = 0.84 → If no difference, we’d expect 9.4% of men in this track 0.84 2.16 23 × 3/32 = 2.16 → Same for women, we’d expect 9.4% in this track
9 × 19/32 = 5.34 → If no difference, 59.4% of men would be in this track 5.34 13.66 23 × 19/32 = 13.66 → Same for women, 59.4% would be in this track
Answer from Chi Square Test 0.13
Is there a relationship between gender and track? p = 0.89 (no relationship).
No, there is no statistically significant relationship between gender and the track chosen (p = 0.89).
http://bit.ly/ChiSquareExcel

Correlation

Correlations (between two interval/ratio variables) - Pearson Correlation Data Entry
Is there a relationship between number of years enrolled and excitement? YouTube Link to remind you how to do this: http://bit.ly/ExcellPearsonR Why did you become a recreation major? When did you decide to be a rec major? How many of your 1000 fieldwork hours have you completed? What track are you taking? How excited are you about being a Recreation Major? How long have you been enrolled at CSULB? Are you a Male or a Female? Do you currently work in recreation?
4 2 0 1 5 1 1 2
5 2 1000 2 5 1 1 1
Example 1 1 0 3 4 2 1 2
1. Sort the Columns before you start. 2. Search for correl function 3. Select Array 1 as one variable 4. Select Array 2 as the other variable How to Sort: Remember to "sort" the columns in order to select the "array" you want- so if you want to measure years be sure to sort the years column. To sort select the entire Data Book (M2:T34) and click the Sort button. The select Sort by (for this example select years), click OK. 2 4 800 3 4 2 1 1
How to report: *Remember that the Pearson Correlation function is not based on .05; It is based on the strength of a relationship from 0 to 1; or from -1 to 0. So the above example reports r =.14; this would not represent a stung relationship (i.e. .14 is not close at all to 1.0) 2 2 50 5 3 2 2 2
3 4 800 3 4 2 1 1
3 4 1000 3 5 2 2 1
Answer 0.14 0.1381208445 3 2 100 6 4 2 1 2
reported as "r" score; in this case r = 5 4 0 6 3 2 2 1
Correlation Practice 5 2 1000 3 5 2 1 2
Is there a relationship between number of years enrolled and number of fieldwork hours completed? 5 2 1000 3 4 2 2 2
1 1 860 1 3 3 2 1
Formula answer (type the formula you used in here without the = sign) 0.07 Correlation Results (perform the correlation here) 0.07 1 4 200 5 5 3 1 2
Number Answer (type the numerical answer from the formula 0.07 0.07 1 2 1000 6 3 3 1 2
Word Answer (answer the question posed above, yes there is a difference, no there is no difference) No, there is no significant relationship 3 2 0 3 5 3 1 1
3 1 100 6 4 3 1 2
5 1 700 4 4 3 1 1
Is there a relationship between number of fieldwork hours completed and excitement? 5 4 700 6 5 3 1 2
Formula answer (type the formula you used in here without the = sign) 0.20 Correlation Results (perform the correlation here) 1 4 900 5 4 4 1 1
Number Answer (type the numerical answer from the formula 0.2 1 4 0 3 3 4 2 1
Word Answer (answer the question posed above, yes there is a difference, no there is no difference) Yes, there is a weak positive relationship 2 2 0 5 5 4 1 2
5 4 1152 2 5 4 1 1
5 1 1000 3 5 4 1 1
5 3 1000 2 5 4 2 1
5 4 1300 6 4 4 2 2
1 4 800 5 4 5 1 1
1 4 500 5 5 5 1 2
1 1 300 4 4 5 2 2
4 4 1000 5 5 5 1 1
4 4 200 5 5 5 1 2
5 3 1000 4 5 5 1 2
2 1 100 6 4 6 1 1
http://bit.ly/ExcellPearsonR

T-Test

Difference between Means (between a nominal and interval/ratio variable) - T-Test Data Entry
Is there a difference between Gender and number of field work hours completed? Test statistic used = t-test one nominal variable, and one scalar variable Why did you become a recreation major? When did you decide to be a rec major? How many of your 1000 fieldwork hours have you completed? What track are you taking? How excited are you about being a Recreation Major? How long have you been enrolled at CSULB? Are you a Male or a Female? Do you currently work in recreation?
YouTube Link to remind you how to do this: http://bit.ly/ExceltTest 3 2 0 3 5 3 1 1
4 2 0 1 5 1 1 2
Example 1 1 0 3 4 2 1 2
Step 1: Sort the data entry table by the nominal variable Step 2: Look up function for t-test Step 3: Select scores for female as array 1 Step 4: Select scores for male as array 2 Step 5: tails=2 Step 6: type = 3 for independent samples Mean #hrs. for Men 567.48 t-test results: 0.82 2 2 0 5 5 4 1 2
Mean #hrs. for Women 612.22 p > .05 2 1 100 6 4 6 1 1
3 1 100 6 4 3 1 2
3 2 100 6 4 2 1 2
1 4 200 5 5 3 1 2
4 4 200 5 5 5 1 2
Practice 1 1 4 500 5 5 5 1 2
Is there a difference between whether someone works in Rec and excitement with the major? 5 1 700 4 4 3 1 1
Formula answer (type the formula you used in here without the = sign) 1.38551E-08 T-test Results (perform the t-test here) 0.000000014 5 4 700 6 5 3 1 2
Number Answer (type the numerical answer from the formula 0.000000014 2 4 800 3 4 2 1 1
Word Answer (answer the question posed above, yes there is a difference, no there is no difference) Yes, there is a significant difference 3 4 800 3 4 2 1 1
1 4 800 5 4 5 1 1
1 4 900 5 4 4 1 1
Practice 2 5 2 1000 2 5 1 1 1
Is there a difference between Gender and Excitement for the major? 5 1 1000 3 5 4 1 1
Formula answer (type the formula you used in here without the = sign) 0.71 T-test Results (perform the t-test here) 0.71 4 4 1000 5 5 5 1 1
Number Answer (type the numerical answer from the formula 0.71 5 2 1000 3 5 2 1 2
Word Answer (answer the question posed above, yes there is a difference, no there is no difference) No, there is no significant difference (p > 0.05) 5 3 1000 4 5 5 1 2
1 2 1000 6 3 3 1 2
5 4 1152 2 5 4 1 1
1 4 0 3 3 4 2 1
5 4 0 6 3 2 2 1
2 2 50 5 3 2 2 2
1 1 300 4 4 5 2 2
1 1 860 1 3 3 2 1
5 3 1000 2 5 4 2 1
3 4 1000 3 5 2 2 1
5 2 1000 3 4 2 2 2
5 4 1300 6 4 4 2 2
http://bit.ly/ExceltTest