©The National Graduate School of Quality Management v.8 • 3 Worksheet Format and Structure Session Window Worksheet Data Window Menu Bar Tool Bar... ©The National Graduate School of Qual
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INTRODUCTION TO
MINITAB VERSION 13
Trang 2•Worksheet Conventions and Menu Structures
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Worksheet Format and Structure
Session Window
Worksheet Data Window
Menu Bar Tool Bar
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Column Names (Type, Date, Count & Amount
Entered Data for Data Rows 1 through 4
Data Entry Arrow
Data Rows
Other Data Window Conventions
Trang 6Menu Bar - Menu Conventions
Hot Key Available
(Ctrl-S)
Submenu Available (… at the end of selection)
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Menu Bar - File Menu
Trang 8Menu Bar - Edit Menu
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Menu Bar - Manip Menu
Row Data Manipulation
Column Data Manipulation
Trang 10Menu Bar - Calc Menu
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Menu Bar - Stat Menu
Trang 12Menu Bar - Graph Menu
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Menu Bar - Data Window Editor Menu
Note: The Editor Selection is Context
Sensitive Menu selections will vary for:
Trang 14Menu Bar - Session Window Editor Menu
Key Functions
•Advanced Edit and Display Options
Font
Connectivity Settings
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Menu Bar - Graph Window Editor Menu
Trang 16Menu Bar - Window Menu
Key Functions
•Advanced Window Display Options
Window Management/Display
Toolbar Manipulation/Display
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Menu Bar - Help Menu
Trang 18MINITAB INTEROPERABILITY
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Minitab Interoperability
Excel
Minitab
PowerPoint
Trang 20Starting with Excel
Load file “Sample 1”
in Excel….
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Starting with Excel
The data is now loaded into Excel….
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Highlight and Copy the Data….
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Move to Minitab
Open Minitab and select the column you want to paste the data into….
Trang 24Move to Minitab
Select Paste from the menu and the data will be inserted into the Minitab Worksheet….
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Use Minitab to do the Analysis
Lets say that we would like to test correlation between the Predicted Workload and the actual workload….
•Select Stat… Regression… Fitted Line Plot…
Trang 26Use Minitab to do the Analysis
Minitab is now asking for us to identify the columns with the appropriate date….
•Click in the box for
“Response (Y): Note that our options now appear in this box.
•Select “Actual Workload” and hit the select button…
•This will enter the “Actual
Workload” data in the
Response (Y) data field
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Use Minitab to do the Analysis
•Now click in the Predictor (X): box… Then click on
“Predicted Workload” and hit the select button… This will fill in the “Predictor (X):” data field
•Both data fields should now
be filled….
•Select OK
Trang 28Use Minitab to do the Analysis
•Minitab now does the analysis and presents the results
•Note that in this case there
is a graph and an analysis summary in the Session Window…
•Let’s say we want to use both in our PowerPoint presentation….
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Transferring the Analysis
•Let’s take care of the graph first….
•Go to Edit… Copy Graph
Trang 30Transferring the Analysis
•Open PowerPoint and select a blank slide….
•Go to Edit… Paste Special
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Transferring the Analysis
•Select “Picture (Enhanced Metafile)… This will give you the best graphics with the least amount of trouble
Trang 32Transferring the Analysis
•Our Minitab graph is now pasted into the powerpoint presentation… We can now size and position it
accordingly…
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Transferring the Analysis
•Now we can copy the analysis from the Session window…
•Highlight the text you want
to copy….
•Select Edit… Copy…
Trang 34Transferring the Analysis
•Now go back to your powerpoint presentation…
•Select Edit… Paste…
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Transferring the Analysis
•Well we got our data, but it
is a bit large…
•Reduce the font to 12 and
we should be ok…
Trang 36Presenting the results
•Now all we need to
do is tune the presentation…
•Here we position the graph and
summary and put in the appropriate
takeaway
•Then we are ready
to present….
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Graphic Capabilities
Trang 38•Now let’s generate the Pareto Chart
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Trang 42•Now let’s generate the Histogram of the GPA results
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Histogram
•Go to:
•Graph…
•Histogram…
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Histogram
Minitab now completes our histogram for us ready to be copied and pasted into your PowerPoint presentation… This data does not look like it
is very normal….
Let’s use Minitab to test this distribution for normality…
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Trang 48Histogram
•Select Graphical Summary….
•Select OK…
•Select OK again on the next screen
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Histogram
Note that now we not only have our Histogram but a number of other descriptive statistics as well….
This is a great summary slide
As for the normality question, note that our P value of 038 rejects the null hypothesis (P<.05) So, we conclude with 95%
confidence that the data is not normal…
Trang 50Histogram
•Let’s look at another
“Histogram” tool we can use to evaluate and present data….
•Go to File… Open Project… Load the file overfill.mpj….
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Histogram
•Go to:
•Graph…
•Marginal Plot…
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Histogram
Note that now we not only have our Histogram but a dot plot of each head data as well
Note that head number 6 seems to be the source of the high readings…
This type of Histogram is called a “Marginal Plot”
Trang 54Boxplot
•Let’s look at the same data using a Boxplot….
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Boxplot
•Select Boxplot of data….
•Select OK…
•Select OK again
on the next screen
Trang 58Boxplot
We now have our Boxplot of the data
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Boxplot
•There is another way we can use Boxplots to view the data
•Go to:
•Graph…
•Boxplot
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Boxplot
Note that now we now have a box plot broken out by each of the various heads
Note that head number 6 again seems to be the source of the high readings…
Trang 62Scatter plot
•Let’s look at data using a Scatterplot….
•Go to File… Open Project…
Load the file 2_Correlation.mpj….
•Now let’s generate the Scatterplot
of the GPA results against our Math and Verbal scores
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Scatter plot
•Go to:
•Graph…
•Plot
Trang 64•Select OK when done
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Scatter plot
We now have two Scatter plots of the data stacked on top of each other…
We can display this better by tiling the graphs….
Trang 66Scatter plot
To do this:
•Go to Window…
•Tile
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Scatter plot
Now we can see both Scatter plots
of the data…
Trang 68Scatter plot
•There is another way we can generate these scatter plots….
•Go to:
•Graph…
•Matrix Plot
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Trang 70Scatter plot
We now have a series
of Scatter plots, each one corresponding to a combination of the data sets available… Note that there appears
to be a strong correlation between Verbal and both Math and GPA data….
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Minitab Statistical Tools
Trang 72PROCESS CAPABILITY
ANALYSIS
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Let’s do a process capability study….
Open Minitab and load the file Capability.mpj….
Trang 74SETTING UP THE TEST….
Go to Stat… Quality Tools… Capability Analysis (Weibull)….
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Select “Torque” for our single data column
Enter a lower spec of 10 and an upper spec of 30 Then select “OK”….
SETTING UP THE TEST….
Trang 76Note that the data does not fit the normal curve very well
Note that the Long Term capability (Ppk) is 0.43
This equates to a Z value of 3*0.43=1.29 standard
deviations or sigma values This equates to an expected
INTERPRETING THE DATA….
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HYPOTHESIS TESTING
Trang 78•Load the file normality.mpj…
Setting up the test in Minitab
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Checking the Data for Normality….
•It’s important that we check for normality of data samples.
•Let’s see how this works….
•Go to STAT… Basic Statistics Normality Test….
Trang 80Set up the Test
•We will test the
“Before” column of data….
•Check Darling
Anderson-•Click OK
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Analyzing the Results
•Since the P value is greater than 05 we can assume the
“Before” data is normal
•Now repeat the test for the
“After” Data (this is left to the student as a learning
exercise )
Trang 82Checking for equal variance
•We now want to see if we have equal variances in our samples.
•To perform this test, our data must be “stacked”.
•To accomplish this go to Manip… Stack… Stack Columns….
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•Select both of the available columns (Before and After) to stack
•Type in the location where you want the stacked
data… In this example we will use C4….
•Type in the location where you want the subscripts stored… In this example
we will use C3….
•Select OK….
Checking for equal variance
Trang 84•Now that we have our data stacked, we are ready to test for equal variances.…
•Go to Stat… ANOVA… Test for equal Variances
Checking for equal variance
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Setting up the test….
•Our response will be the actual receipt performance for the two weeks we are comparing In this case we had put the stacked data in column C4….
•Our factors is the label
column we created when we
stacked the data (C3) •We set our Confidence
Level for the test (95%).
•Then select “OK”.
Trang 86•Here, we see the 95%
confidence intervals for the two populations Since they overlap, we know that we will fail to reject the null
hypothesis.
•The F test results are shown here We can see from the P-Value of 263 that again we
would fail to reject the null hypothesis Note that the F test assumes normality
•Note that we get a
graphical summary of
both sets of data as
well as the relevant
statistics…
Analyzing the data….
•Levene’s test also compares the variance
of the two samples and
is robust to nonnormal data Again, the P- Value of 229 indicates that we would fail to
•Here we have box plot
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Lets test the data with a 2 Sample t Test
-•Under Stat… Basic Statistics… We see several
of the hypothesis tests which
we discussed in class In this example we will be using a 2 Sample t Test….
•Go to Stat… Basic Statistics 2 Sample t…
Trang 88•Since we already have our data stacked, we will load C4 for our samples and C3 for our subscripts.
Setting up the test….
•Since we have already tested for equal
variances, we can check off this box…
•Now select Graphs….
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Setting up the test….
•We see that we have two options for our graphical output For this small a sample, Boxplots will not be of much value so we select “Dotplots of data” and hit “OK” Hit
OK again on the next screen….
Trang 90•In the session window we have
each population’s statistics
calculated for us
•Note that here we have a P value
of 922 We therefore find that the data does not support the
conclusion that there is a significant difference between the means of the two populations
Interpreting the results….
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•The dotplot shows how close the datapoints in the two
populations fall to each other The close values of the two population means (indicated by the red bar) also shows little chance that this hypothesis could be rejected by a larger sample
Interpreting the results….
Trang 92Paired Comparisons
observations or treatments An example would be
to test automatic blood pressure cuffs and a nurse measuring the blood pressure on the same patient using a manual instrument
to determine if operators are getting the same
mean value across the same set of samples.
Let’s look at an example:
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2_Hypothesis_Testing_Shoe_wear.mpj
In this example we are trying to determine if shoe
material “A” wear rate is different from shoe
material “B”.
Our data has been collected using ten boys, whom
were asked to wear one shoe made from each
material.
H o : Material “A” wear rate = Material “B” wear rate
H a : Material “A” wear rate Material “B” wear rate
Trang 94Paired Comparison
•Go to Stat…
•Basic Statistics…
• Paired t…
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Paired Comparison
•Select the samples…
•Go to Graphs…
Trang 96Paired Comparison
•Select the Boxplot for our graphical output
•Then select OK
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Paired Comparison
We see how the 95%
confidence interval of the mean relates to the value we are testing In this case, the value falls outside the 95% confidence interval of the data mean This gives us confirmation that the shoe materials are significantly different
Trang 98CONTINGENCY TABLES
(CHI SQUARE)
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Entering the data….
•Enter the data in a table format For this example, load the file Contingency Table.mpj
Trang 100Let’s set up a contingency table….
•Contingency tables are found under Stat…
Tables… Chi Square Test…
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•Select the columns which contain the table Then select “OK”
Setting up the test….
Trang 102Note that you will have the critical
population and test statistics displayed
in the session window
•Minitab builds the table for you Note that our original data is presented and directly below, Minitab calculates the expected values
•Here, Minitab calculates the Chi Square statistic for each data point and totals the result The calculated Chi Square
statistic for this problem is 30.846
Performing the Analysis….