Download Using the TI-Inspire for statistics

TI-Inspire manual 1
Newest version
Older version
Real old version
This version works well but is not as
convenient entering letter
TI-Inspire manual 1
Instructions
Ti-Inspire for statistics
General Introduction
TI-Inspire manual 2
TI-Inspire manual 3
General Instructions
Press the On, Off button to go to Home page
Quick calculation page
Opens a page
for entering
document and
texts
Opens a page
for calculation.
This is different
from “scratch
pad” above in
that it can be
saved.
Open a page
for entering
data in the
form of a
spread sheet
Open a page
for plotting
and graphing
data.
TI-Inspire manual 4
Use the
To select an option press
Press [ Enter] (see below)
middle button to navigate among the choices
, in the middle button
TI-Inspire manual 5
Important If you try to divide numbers TI-Inspire will give you a fraction since a
decimal is only an approximation
1 Which
1
I am more than happy to live with
Deleting
Highlight the item or column or number and hit “del”
TI-Inspire manual 6
Finding Mean, Median and Mode
Step 1)
Open list so you can enter your data
Press
Click the above icon
A new document opens with
Lists & Spreadsheet on the
page.
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Enter your data in a column (you could use any column)
But usually start with A
Give the column a name using the letter keys
Put name in top row
beside the letter
Put NOTHING in
this row for now.
TI-Inspire manual 8
use the arrow to select
the page you want and
then hit “enter” to go to
that page
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Problem: Find the mean of the number of hours of TV watched by a sample of freshmen men
during their first week of college.
35, 28, 29, 31, 36, 26, 23, 34,19
Click [Menu]
Enter the Data in the column
TI-Inspire manual
10
Give column a title if you wish otherwise it will be known by the letter above it.
Generally it is better to give each column a unique title so it can be found easily.
Use alphabet keys at the bottom of the calculator to do this
.
Press Menu
Hit
[Menu]
TI-Inspire manual 10
Choose “4: Statistics”
The choose 1: Stat Calculations
Use arrow on navigator button to move left/ right or up/down
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Choose “1: One-Variable Statistics
Step 2)
leave “num of lists” on "1" and
and then use Tab
to get to [OK]
Leave “Num of
Lists” as 1
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This tells the TI where
the data is you want the
mean of. columns
Leave these three alone
Leave Frequency at 1 and
leave the others blank
This tell the calculator where
to put the answers. Choose a
column that does not already
have data in it because it will
override anything that is there
You can also press the
arrow at the end and it
will give you the names
of all thedata sets you
have at that time
and then use Tab
to get to [OK]
= mean (pronounced “X bar”) Scroll
down for median and other data
TI-Inspire manual 13
Clearing column and/ or rows of Data
First columns
Use
Go to
Click the above icon.
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use center navigator button to the data entry button which will cause it to highlight.
Click on the letter and this will cause the whole column to highlight of the top of the
column you want to clear
When column highlights
Hold
down [ctrl]
and hit [del/clear]
Column will empty
Several rows or several columns at the same time: Drag to select additional rows or
columns
Copying rows or columns
Use the same procedure as above to highlight the row or column. When it is highlighted
press [ctrl] C to copy a column or row and [ctrl] V to paste it.
TI-Inspire manual 15
Constructing a Box plot
IMPORTANT: The column you want to turn into a box plot must have a name
Add a new number to you list of freshman tv watches. This one watches 56 hours a
week and probably will not be here the second semester.
On
Select Graph button to get a graph
screen
TI-Inspire manual 16
This box will appear
Click here
Name of several file may
appear pick the one you
wish to do box plot on
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It looks this
[Menu]
Choose 1: Plot type
Choose 2 Box plot
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Move the arrow over part of the box or the outlier and it becomes a hand
the number that appears is the where the outliers start. In this case “36 “ is not an
outlier but anything greater is
Move the hand to the line in the middle o fhte box and it will give you the median. Inthis
case 30
TI-Inspire manual 19
Move the hand to the bottom of the box and it will give you Q1, etc.
The dot by itself to the left is an outlier and is our 56 hour tv watcher
TI-Inspire manual 20
How to find Standard Deviation
Go to
Press Home
List & spread sheet/ Data Entry
Click the above icon.
Enter data and give the column a name
TI-Inspire manual 20
4:Statistics
1: Stat Calculations
1:One Variable Statistics
TI-Inspire manual 21
leave on "1"
Press center button or Enter
to [OK] and press
TI-Inspire manual 22
Leave “Num of
Lists” as 1
The [OK]
Tab to the last slot
and then use Tab
to get to [OK]
This tells the TI where
the data is you want the
mean of. columns
Leave these three alone
Leave Frequency at 1 and
leave the others blank
Tab to [OK]
This tell the calculator where
to put the answers. Choose a
column that does not already
have data in it because it will
override anything that is there
TI-Inspire manual 23
There are two standard
deviations Sx is for a
sample x is for a
population
You can also press the
arrow at the end and it
will give you the names
of all the data sets you
have at that time
Sx is the standard deviation for a sample and the one you want to use
TI-Inspire manual 24
One sample Z-test
Local citizens have been concerned that the reading program in the public schools may be
inferior . The superintendent hires you to conduct an experiment to investigate. You set a =
0.05 (alpha level) for making your decision. You compare the reading level of current high
school seniors to national reading proficient norms which are normally distributed with M =
75 and SD = 16. You administer the reading test to 100 randomly selected high school
seniors in your city. The obtained mean of the sample = 72. What is your conclusion?
[On]
[Home]
Calculator button at
bottom [Menu]
6:Statistics
7: Stat Tests
1:zTest
Push center
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TI-Inspire manual 26
National mean
National SD
Our sample mean
Our sample size
Our hypothesis:
there is not difference
between our sample
and the comparison
sample
The results are not significantly different. Z(100)=-1.875, p>.05
However, at .060 it’s awful
close to being significantly
different!
TI-Inspire manual 27
One sample T-tests
The United States has the highest teen pregnancy rate in the western world, despite the
fact that US teens are not more sexually active than Swedish teens, Canadian teens, or
British teens.
The mean teenage pregnancy rate in the US is 11.85%
The rates for states in the this area
( based on survey of 15-19 year olds)
Arkansas
17.28%
Mississippi
18.75
Louisiana
17.05%
Texas
15.25%
HO: There is no significant difference in the pregnancy rate of the states of
Arkansas, Mississippi, Louisiana and Texas compared to the rest of the
nation
HA: There is no significant difference in the mean teenage pregnancy rate of
the four states sample and the US average.
Other Alternative hypothesis are of course possible.
TI-Inspire manual 28
Open a spread sheet
Put the date into column
as a list
title it “teen”
then choose 4: Statistics
then choose 4:Stat Tests
TI-Inspire manual 29
Choose 2: t Test
It is designed to test a
sample against a larger
known mean
Choose “Data “ because you
entered your data into a
column on the Spreadsheet
page
Click “OK”
µ0: mean you a comparing to
List: is the column where you
put the data from your
sample
Frequency: always 1
Alternate Hyp: Three
hypothesis are possible
A two sided Ha: µ ≠ µ0 My
sample mean is significantly
different from the population
mean, great or less it doesn’t
matter it’s just significantly
different.
Ha: µ > µ0 My sample is
greater, bigger, etc. than the
national mean
Ha: µ < µ0 My sample is less
smaller, etc. than the national
mean
TI-Inspire manual 30
These results would
be reported as
There is a
significant
difference in the
pregnancy rate of
the states of
Arkansas,
Mississippi,
Louisiana and
Texas compared to
the rest of the
nation. t(3) = 7.29, p
<.006. The
pregnancy rate for the
nation was 11.85 and
for the four states in
question the average
was 17.05, s = 1.43
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However, if you are given the mean for the data the procedure is different
The average age of mothers in the US when they give birth to their first child is 25.1.
x = 2.6. The average age of a sample of 200 women from the Arkansas Delta
region is
21.7.
Our hypothesis is: Ha: The age of mothers giving birth to their first child is significantly
lower in the Delta region of Arkansas than the national average of the sample is
significantly lower than the national average. Ha: µ < µ0
[On]
[Home]
Calculator button at bottom [Menu]
:Statistics
7: Stat Tests
1:zTest
Push center
TI-Inspire manual 32
Press
4: Statistics 4:Stat
Tests"
2:t-test
choose "Stats" this time
Sample mean
National standard deviation
National mean
N in our sample
In this case our hypothesis is that
our sample (Delta region) is
significantly lower than the
Pick column for results and the [OK]
These results would be
written: “A significant
difference (p<.000)was found
in the mean age for mother
giving birth to their first child in
the Arkansas Delta region than
the national average. t (199)
= -18.49, p <.000. With the
mean for the nation being 25.1
and the mean for the delta
region of Arkansas being
21.7.”
Means are usually given in
addition to the t scores
TI-Inspire manual 33
when the difference is significant.
Two Independent Sample T-Test
This t-test is used when you have two separate sample that you are comparing. (They do not
have to be the same size.) Ie. Rainfall in one city to rainfall in another, female scores on a selfesteem test compared to males scores on the same test.
The Inspire has a 2-Sample T-Test
Enter the data for the two groups you are comparing in two, usually columns
1 & 2. Give them a title
Honolulu-Average
Phoenix-Average
San Francisco-Average
Honolulu-Ave
month
January
February
March
month
January
February
March
month
January
February
March
month
Janurary
Feburary
March
April
May
June
July
August
Avg.
73
73
75
April
May
June
July
August
76
78
80
81
81
April
May
June
July
August
September
81 September
October
Avg.
54
58
63
71
79
89
93
91
April
May
June
July
August
Avg.
Little Rock - average
month
Ave
51 January
44
54 February
46
55 March
56
56
57
59
60
61
April
May
June
July
August
63
71
80
81
83
86 September
63 September
80 October
75 October
62 October
75
62
November
75 November
62 November
57 November
54
December
74 December
55 December
52 December
44
September
October
November
December
TI-Inspire manual 34
Enter Data into columns
and title
[menu]
4:Statistics
4:Stat Tests
4:2 Sample t Test
Choose Data is your data
is in columns
Choose stat if you have
mean and standard deviation
TI-Inspire manual 35
Pick the two columns of
data you wish to
compare. Of the four in
this case any two can be
chosen but only at a
time.
Put one name in list 1
and the other in list 2.
Order does not matter
Choose Alternative
hypothesis (Ha:) from
the drop down list
•µ1>µ2 the first group is
significantly more ,
faster, greater, etc. than
the second group
•µ1<µ2 the first group is
significantly less than,
smaller, etc, than the
second group
•µ1≠µ2 the
difference between
group 1 and group 2 is
not significant
Leave frequency
alone
TI-Inspire manual 36
Since it seems logical that
Honolulu has a higher
average than Little Rock
choose 1 < 2
If the two standard deviations are
similar (neither is more than twice of
the other), use pooled
t(22) = 1.1841, p
<.002
Scroll down and
you find the
means and
Honolulu’s mean
= 77.25 while
Little Rock’s mean
temperature =
63.25
Wriitten this way
There was a significant difference(p <.002) in th eaverage
temperatures of Little Rock and Honolulu, t(22) = -1.1841, p <.002( s=
3.2) with Honolulu mean temperature being 77.25 and Little Rocks
mean = 63.25 (s = 14.65)
It was said earlier to used pooled unless one standard deviation and more than 2 times
which in this case it is. Repeat the statistic usign “non-pooled) The result change only
slightly. t(12.8) = 3.23, p <.004
TI-Inspire manual 40
Matched pairs t-test
want to know if subjects have more
anxiety after they watch a slasher
flick or after watching the evening
news.
I will measure anxiety with a state
anxiety scale. The higher the score
the more anxiety.
I will use the same subjects twice but
to compensate for “order effect" I will
reverse the order they see the two
shows
Subject
Slasher flick
Evening
news
1
4
4
2
5
7
3
3
3
4
8
9
Subject
Evening
news
Slasher
flick
5
5
5
6
4
7
7
3
9
8
9
7
9
2
5
TI-Inspire manual 40
This can be treated in terms of two columns since order is not a factor.
Subject
Slasher
flick
Evening
news
1
4
4
2
5
7
3
3
3
4
8
9
5
5
5
6
7
4
7
9
3
8
7
9
9
5
2
Put Slasher Data in
Column A and news
data in Column B
Title each
appropriately
Title third column “diff”
In the area just below
this title type the
following formula
=a[ ]-b[ ]
Hit enter and the
difference will appear
in the column below.
This tell the calculator
to subtract column b
from column a dn put
the difference in c
TI-Inspire manual 40
use [ctrl]
That will turn ( )
into [ ]
Go to Menu
4: Statistics
4: Stat Test
2:t test
you are not using the 2
sample t-test because
you are measuring the
actual difference against
“0”
Data method input is “Data
For
use “0”
Always choose
The two tailed test
Put your results in d
0
TI-Inspire manual 40
Anova
Doing an ANOVA on the TI is amazing simple if you have been doing t-tests
You wish to determine if College status (Fr, Soph, Jr, Sr) affects the number of time in a
month that a male student “goes out”
“Goes out” is defined as leaving the dorm for reason other than going home, to eat in the
cafeteria, to class, to chapel, business, checking mail, or study. Dating, cruising, hanging
out with the “guys”/"girls" would all be considered “going out
A sample was taken and the number of times during the school week (Mon to Fri) for 24
students over a 9-week period are given in the following table.
Fr
Soph Jr
Sr
3
6
9
12
5
7
10
13
6
9
15
15
2
37
12
18
1
11
11
15
2
6
10
13
Enter the data in to four columns and title them
[Menu]
4: Statistics
4: Stat tests
TI-Inspire manual 41
C: AVOVA
Number of groups is
the number of
columns.
In this case 4
In the previous window, you
indicated you had four group.
Now you need to give the TI
the names of the four groups.
And then tell the programs
where to put the answer.
TI-Inspire manual 42
F(3, 20) = 3.7, p <.03
You will have to
scroll down for
the second df, it
is called the
“dfError”
TI-Inspire manual 43
A source table can also be constructed from the information above
The Within data row is filled with the error data from the TI
Source
Between
Within
Total
SS
413.500
84.333
497.833
df
3
20
23
MS
137.833
4.217
F
32.685
p
<.001
TI-Inspire manual 44
Correlations
Enter the data you want to correlate into two columns in the Data and Spreadsheet. This
would usually be columns A [ ] and B[ ] , title them .
Levels
of Anger
Levels
of depression
3
23
8
24
4
30
11
45
6
22
7
18
5
16
10
42
7
19
6
24
2
26
Punch [menu]
"4:Statistics"
"1: Stat Calculations"
"4:Linear Regressions(a+bx)
There is also a 3: Linear Regression with the formula (mx+b) This one will give you a correlation
but it will also give you extra data you don’t want to bother with. Avoid it.
X List is usually the factor you
believe affects the second. If you
just believe there is a relationship
either factor can be X
Y List is usually the factor affected
by the X factor. Again if you are just
positing a relationship either factor
can be Y
TI-Inspire manual 45
Leave “Save RegEqu to” alone Leave “Frequency” as “1”
Skip “Category List” and “Include Categories”
Put results in an empty column
r = correlation
TI-Inspire manual 46
Regression
Getting a and b on the TI-Nspire to run a regression
Run a correlation and look again it gives you a and b (see example above)
TI-Inspire manual 47
Chi Square
As an example assume the following Chi Square or matrix
Believes in Does not
Santa
Believe in Santa
male
female
35
43
43
25
Undecided about
The jolly old
man
27
10
First set up a matrix with your numbers

choose calculator page (not scratch pad)
TI-Inspire manual 48
On the calculator page type [35,43,27:43,25,10]→a
[ctrl] and “(“ will give
you the [ ] brackets
The comma is to the left of the “o”
Choose semi-colon
The semi-colon is activated by the
“?| ”button which produces a
number of special symbols
Choose “;”
TI-Inspire manual 49
On the calculator page type [35,43,273,25,10]→a
After you have closed the bracket store the matrix in letter “a” you can store it in a
different letter if “a” is already being used.
The → is the store command “sto→”
by first hitting “[ctrl]”
[ENTER]
which is activated
TI-Inspire manual 50
[Menu]
6: Statistics
7: stat tests
8: χ22-way Test
[Enter]
Choose the letter “a” or whatever you designated the matrix as for the “Observed
Matrix:”
[OK]
You now have both χ2 and you p value
TI-Inspire manual 50
Goodness of Fit 1 X
Put observed numbers in column a(and name)
Put expected number in column b ( and name)
M&M’S PEANUT: 23% cyan blue, 23% orange, 15%
green, 15% bright yellow, 12% red, 12% brown.
Expected can be either
1. Total divided by number of factors; You are saying that all factors will
have equal amounts i.e. In the case of bags of M&M’s you would be
saying that there is an equal number of each color in each bag
There are an average of 35 peanut M & Ms in each package and there are 6 colors
35/6 =5.8
2. A known statistic you are comparing your results to./ ie. We compare the
number of M&M’s, by color, in a sample of bags to the number of each
color the company claims on its website.
Assuming a bag of 35 then by percent it would be 9 blue, 8 orange, 4 green, 5 yellow, 5
red and 4 blue(roughly)
[Menu]
TI-Inspire manual 50
The bag I
opened for
this sample
included
12 blue
7 orange
3 green,
3 yellow
4 red
5 brown
Enter data into two columns
[menu]
4: Statistics
4: Stat Tests
7: χ2GOF
[ENTER]
TI-Inspire manual 51
“Observed List” is the
location of the list your
sample produced, your bag in
this case, column a
“Expected List” is the
location of either
1. Total/N
2. Comparison data you
are using
3.
df = number of categories - 1
[OK]
The results gives us our χ2 and probability