Stat 101L: Lecture 6
Quantitative Data
Who? Cans of cola.
What? Weight (g) of contents.
368, 351, 355, 367, 352, 369, 370, 369
370, 355, 354, 357, 366, 353, 373, 365
355, 356, 362, 354, 353, 378, 368, 349
1
Weight of Contents
W eight of Contents of Cans of Cola
Frequency
15
10
5
0
3 30
340
350
360
37 0
38 0
390
W eight (gram s )
2
Weight of Contents
W eight of Contents of Cans of Cola
Frequency
10
5
0
330
340
350
360
370
380
390
W eight (grams)
3
1
Stat 101L: Lecture 6
Weight of Contents
Who?
– Cans of cola.
What?
– Weight of contents (g)
– Type of cola (Regular or Diet)
4
Weight of Contents
Regular Cola
36 2
36* 5678899
37 003
37* 8
Diet Cola
34
34* 9
35 123344
35* 55567
5
Comparing Distributions
How do the distributions compare
in terms of
– Shape?
– Center?
– Spread?
6
2
Stat 101L: Lecture 6
Comparing Groups
Regular
Diet
– Min: 362 g
– Min: 349 g
– QL:
– QL:
366.5 g
– Med: 368.5 g
– QU: 370 g
– Max: 378 g
352.5 g
– Med: 354 g
– QU: 355 g
– Max: 357 g
7
Comparing Groups
Type of Cola
R
D
345
3 50
35 5
36 0
3 65
3 70
3 75
38 0
3 85
W eight (gram s)
8
Comparing Groups
Regular
– Med:
368.5 g
– Mean: 368.8 g
– Range: 16 g
– IQR:
3.5 g
– Std dev: 4.03 g
Diet
– Med:
354 g
353.7 g
– Range: 8 g
– IQR:
2.5 g
– Std dev: 2.23 g
– Mean:
9
3
Stat 101L: Lecture 6
JMP
The data table is arranged so that
rows are cases (Who?) and
columns are variables (What?).
Before entering data into JMP
answer the questions Who? and
What?
10
JMP – Data Table
Weight
1
2
Type of Cola
368 R
367 R
M
M
M
11
12
13
14
378
368
351
355
R
R
D
D
M
M
M
23
24
353 D
349 D
11
JMP – Analyze
Analyze – Distribution
– Y, Columns: Weight
12
4
Stat 101L: Lecture 6
JMP – Output
Distribution
– Stack
Weight
– Display Options: Horizontal Layout
– Histogram Options: Count Axis
13
JMP – Output
JMP will automatically select the
bins. You can change these by
– Right click on Weight axis;
– Axis Settings
• Minimum: 340
• Maximum: 380
• Increment: 10
14
Distributions
Weight
Quantiles
12
8
6
4
2
340
350
360
370
380
Count
10
100.0%maximum
99.5%
97.5%
90.0%
75.0%
quartile
50.0%
median
25.0%
quartile
10.0%
2.5%
0.5%
0.0% minimum
Moments
378.00
378.00
378.00
371.50
368.75
359.50
354.00
351.50
349.00
349.00
349.00
Mean
361.20833
8.3352534
Std Dev
1.7014265
Std Err Mean
upper 95% Mean 364.728
lower 95% Mean 357.68866
24
N
15
5
Stat 101L: Lecture 6
JMP – Analyze
Analyze – Distribution
– Y, Columns: Weight
– By: Type of Cola
16
JMP – Output
Distribution
– Uniform Scaling
– Stack
Weight
– Display Options: Horizontal Layout
– Histogram Options: Count Axis
17
Distributions Type of Cola=D
Weight
Quantiles
4
2
Count
6
345 350 355 360 365 370 375 380
100.0% maximum
99.5%
97.5%
90.0%
75.0%
quartile
50.0%
median
25.0%
quartile
10.0%
2.5%
0.5%
0.0%
minimum
Moments
357.00
357.00
357.00
356.70
355.00
354.00
352.25
349.60
349.00
349.00
349.00
Mean
Std Dev
Std Err Mean
upper 95% Mean
lower 95% Mean
N
378.00
378.00
378.00
376.50
370.00
368.50
366.25
362.90
362.00
362.00
362.00
Mean
Std Dev
Std Err Mean
upper 95% Mean
lower 95% Mean
N
353.66667
2.2292817
0.6435382
355.08308
352.25025
12
Distributions Type of Cola=R
Weight
6
4
2
345 350 355 360 365 370 375 380
Count
Quantiles
100.0% maximum
99.5%
97.5%
90.0%
quartile
75.0%
median
50.0%
quartile
25.0%
10.0%
2.5%
0.5%
minimum
0.0%
Moments
368.75
4.025487
1.162058
371.30767
366.19233
12
18
6
Stat 101L: Lecture 6
JMP – Analyze
Analyze – Fit Y by X
– Y, Response: Weight
– X, Factor: Type of Cola
Note: Y is numerical/continuous
X is character/nominal
19
JMP – Output
One way analysis of Weight by
Type of Cola
– Display Options – Box Plots, Mean
Lines, Grand Mean
– Highlight (click on, hold down shift
if more than one) potential outliers
– Means and Std Dev
20
Oneway Analysis of Weight By Type of Cola
380
375
370
Weight
365
360
355
350
345
D
R
Type of Cola
Means and Std Deviations
Level
D
R
Number
12
12
Mean
353.667
368.750
Std Dev Std Err Mean Lower 95% Upper 95%
2.22928
0.6435
352.25
355.08
4.02549
1.1621
366.19
371.31 21
7