how to do cross tab

21
7/23/2019 How to Do Cross Tab http://slidepdf.com/reader/full/how-to-do-cross-tab 1/21 Chapter 4 How To Do Cross-Tabs in Spss 10.0/11.0 In Chapter 3, we did an exercise to examine the Scatterplot of Population Density and Juridictional Hierarchy (Figure 3.3). The red line in that plot show the average values on the Y coordinate (Juridictional Hierarchy, scaled from 1 to 5) for each value of the X coordinate (roughly, the log to base 5 of the population density). A cross tabulation (or cross-tab for short) differs from a scatterplot in that the rows represent the values of one variable (e.g., those of the Y variable in a scatterplot) and the columns represent the values of second variable (e.g., those of the X variable in our scatterplot). The information may be the same as in a scatterplot but here instead of a graph we have in each cell of the table the number of cases that have a given pair of values on the two variables. In this chapter we cover getting variables from a spss file, asking for percentages, asking for statistics, getting your table, exporting your table to Word or html for use in a research paper, website or publication, and last, a better way to export your table to Word or html. Getting variables  Now, let us do a cross-tabulation for population density and this measure of political complexity tested the hypothesis that increases in density are correlated with growth in complexity. To start: 1. IN MENU LINE CHOOSE: ANALYZE  DESCRIPTIVE STATISTICS  CROSSTABS

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Chapter 4

How To Do Cross-Tabs

in Spss 10.0/11.0

In Chapter 3, we did an exercise to examine the Scatterplot of Population Density and

Juridictional Hierarchy (Figure 3.3). The red line in that plot show the average values onthe Y coordinate (Juridictional Hierarchy, scaled from 1 to 5) for each value of the X

coordinate (roughly, the log to base 5 of the population density). A cross tabulation (or

cross-tab for short) differs from a scatterplot in that the rows represent the values of onevariable (e.g., those of the Y variable in a scatterplot) and the columns represent the

values of second variable (e.g., those of the X variable in our scatterplot). The

information may be the same as in a scatterplot but here instead of a graph we have ineach cell of the table the number of cases that have a given pair of values on the two

variables.

In this chapter we cover getting variables from a spss file, asking for percentages, askingfor statistics, getting your table, exporting your table to Word or html for use in a

research paper, website or publication, and last, a better way to export your table to Word

or html.

Getting variables

 Now, let us do a cross-tabulation for population density and this measure of political

complexity tested the hypothesis that increases in density are correlated with growth in

complexity.

To start:

1. IN MENU LINE CHOOSE:

ANALYZE→ DESCRIPTIVE STATISTICS→ CROSSTABS

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Chapter 4

You will see the following window:

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Cross-Tabs in Spss

2. MOVE RESPECTIVE VARIABLES TO "ROW" AND "COLUMN" BOXES.

Questions that might arise at this point is:

"If I see a list of variables by number how do I get this list of variables by name?Or,  “How do I get a list of variables by number? "

Cancel the window above and click the Edit and then Options on the main Menu. TheGeneral Tab for options will then open, as and under “Variables Lists” click the

“Display labels” button (or the “Display names” which is what we have above) and then

click the “OK” button.

3

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Chapter 4

 Now go back to crosstabs: from menu, ANALYZE→ DESCRIPTIVE STATISTICS→ 

CROSSTABS. Then you might have

Another question that will arise at this point is:

"Which variable should be put in which box?"

4

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Cross-Tabs in Spss

Recall that in formulating our hypothesis, we thought that population density might affectthe development of political complexity. There are good reasons for this expectation.

Population can grow within a given area due to the balance between birth rate and

immigration on the one hand and mortality and emigration on the other. When population

densifies, however, new forms of political integration are needed (Johnson 1982). Whenwe have this kind of idea about which variable is likely to be the predictor of the other,

which is often a matter of temporal ordering and at other times a matter of logical

 priority, we call the predictor the independent variable and the dependent variable the onethat is predicted. Here we will use the terminology for distinguishing independent and

dependent variables. Sometimes, however, we are simply interested in the relationship

without a notion of causal or temporal or logical order. Some statistical correlations,however, will still distinguish between independent and dependent variable on the basis

of which is used in a formal sense to make the prediction. This will be treated under the

idea of mathematical function in Chapte 5, where the function takes the predictor andreturns the prediction, and that is the only difference between the independent and

dependent variables.

Our question about which variable to assign to the rows of a cross tabulation and whichto the colums will have different answers depending on the following:

2a. If both variables have the same number of values,

 PUT INDEPENDENT VARIABLE IN THE " ROW" BOX;

 PUT DEPENDENT VARIABLE IN THE " COLUMN" BOX.

2b. If one variable has more values than the other,

 PUT THIS VARIABLE (THE ONE WITH MORE VALUES) IN THE " ROW" BOX;

 PUT THE OTHER VARIABLE (THE ONE WITH LESS VALUES) IN THE " COLUMN"

 BOX

The reason for this rule is as follows: if we put the variable with many values in columns,

the table will become too wide and it will be difficult (or impossible) to fit it in a standard page (in fact, we shall encounter this problem once below). In general, as the standard

orientation of paper is "portrait" (), rather than "landscape" (), it is always more

convenient to deal with tables that are long, but narrow,

rather than short, but wide

We are going now to cross-tabulate the following variables:

5

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Chapter 4

V64. POPULATION DENSITYand

V237. JURISDICTIONAL HIERARCHY

BEYOND LOCAL COMMUNITY

V64 ("POPULATION DENSITY") has the following values:

1 = < 1 person per 5 sq. mile

2 = 1 person per 1–5 sq. mile3 = 1–5 persons per sq. mile

4 = 6–25 persons per sq. mile

5 = 26–100 persons per sq. mile6 = 101–500 persons per sq. mile

7 = over 500 persons per sq. mile

V237 ("JURISDICTIONAL HIERARCHY BEYOND LOCAL COMMUNITY" ≈ 

"POLITICAL COMPLEXITY INDEX") has the following values:1 = No levels (no political authority beyond community)

2 = One level (e.g., petty chiefdoms)3 = Two levels (e.g., larger chiefdoms)

4 = Three levels (e.g., states)

5 = Four levels (e.g., large states)

Thus, "Population density" variable has 7 values, whereas the "Political complexity" one

has only 5. In addition to this, "Population density" is more likely to be regarded as theindependent variable. Hence, in the present situation we have all the grounds to

 PUT V64 ("POPULATION DENSITY") IN ROWS, and

 PUT V237 ("JURISDICTIONAL HIERARCHY BEYOND LOCAL COMMUNITY") INCOLUMNS :

6

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Cross-Tabs in Spss

But after you have done this, it is still too early to click the "OK" button. So, as your next

step:

3. CLICK THE "CELLS..." BUTTON.

Asking for percentages

You will see the following window:

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Chapter 4

We advise you to always make crosstabs not only with observed counts, but also with

 percentages. As we shall see below, crosstabs with percentages are immensely moreuseful than the ones without them. To make a crosstab with percentages you should tick

the boxes in "Percentages" part of the submenu. You can tick both "Row,” and"Column,” but the experience shows that in this case resultant tables are not "user-friendly.” So we advise you the following:

 If the independent variable is in rows, tick the "Row" box;

if the independent variable is in columns, tick the "Column" box!

In our case the independent variable ("Population Density") is in rows. So, tick the

"Row" box. You will see the following window:

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Cross-Tabs in Spss

Asking for statistics

After this click the "Continue" button. After this do not forget to order the statistical

analysis of the crosstab. To do this, click the "Statistics….” You will see the followingwindow:

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Chapter 4

If you are a beginner in statistical analysis, we would advise you to tick the following

 boxes:

Chi-square Phi and Cramer's V

Correlations

Gamma Kendall’s Tau-b

You will not necessarily need all the resultant additional tables to analyze statistically

each concrete crosstab, but what you will get will be quite sufficient to answer anyquestions that could appear in the nearest future when you analyze crosstabs statistically.

Statistics are covered in the next chapter.

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Cross-Tabs in Spss

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Getting your table

 Now, press "Continue,” then "OK,” and you will get the following table:

Population Density * Jurisdictional Hierarchy Beyond Local Community Crosstabu

29 6 1

80,6% 16,7% 2,8%

17 5

77,3% 22,7%

11 8 4

44,0% 32,0% 16,0% 8

7 9 4

25,9% 33,3% 14,8% 18

9 13 5

26,5% 38,2% 14,7% 14

4 6 4

21,1% 31,6% 21,1% 15

3 1 5

15,8% 5,3% 26,3% 21

80 48 23

44,0% 26,4% 12,6% 10

Count

% within

Population Density

Count

% within

Population Density

Count

% within

Population Density

Count% within

Population Density

Count

% within

Population Density

Count

% within

Population Density

Count

% within

Population Density

Count

% within

Population Density

< 1 person / 5 sq. mile

1 person / 1-5 sq. mile

1-5 persons / sq. mile

6-25 persons / sq. mile

26-100 persons / sq. mile

101-500 persons / sq.

mile

over 500 persons / sq.

mile

Population

Density

Total

No levels One level Two levels Three le

Jurisdictional Hierarchy Beyond Local Co

 As you see, even though we put in columns the variable with a smaller number of values,

the resultant table does not fit a standard page. To a considerable extent this is explained

 by the fact that even the most recent versions of SPSS produce crosstabs with an entirelyuseless column ("Count vs. % within"). In order to make this crosstab easier to read, and

more prepared for publication we would advise you to delete it.

To do this double-click on the table, and block this column, e.g. pressing on any of its

cells with your mouse and using the combination of "Shift" and "↓" buttons. After that

using the mouse's left button make the column as narrow as possible:

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Chapter 4

12

 

If you click on any point outside the table now, you will see that the column has

disappeared. We would also advise in this case to diminish the breadth of the second and

the last column. After this the table will look in the following way:

Table 2.1:Population Density * Jurisdictional Hierarchy Beyond Local Community Crosstabulation

29 6 1 36

80,6% 16,7% 2,8% 100%

17 5 22

77,3% 22,7% 100%

11 8 4 2 25

44,0% 32,0% 16,0% 8,0% 100%

7 9 4 5 2 27

25,9% 33,3% 14,8% 18,5% 7,4% 100%

9 13 5 5 2 34

26,5% 38,2% 14,7% 14,7% 5,9% 100%

4 6 4 3 2 19

21,1% 31,6% 21,1% 15,8% 10,5% 100%

3 1 5 4 6 19

15,8% 5,3% 26,3% 21,1% 31,6% 100%

80 48 23 19 12 182

44,0% 26,4% 12,6% 10,4% 6,6% 100%

< 1 person / 5 sq.

mile

1 person / 1-5 sq.

mile

1-5 persons / sq.

mile

6-25 persons / sq.

mile

26-100 persons /

sq. mile

101-500 persons /

sq. mile

over 500 persons /

sq. mile

Population

Density

Total

No levels One level Two levels Three levels Four levels

Jurisdictional Hierarchy Beyond Local Community

Total

 

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Cross-Tabs in Spss

13

Exporting your table to Word

 Now, the table could be read more or less easily. However, if you are going to publish it

(e.g., to use it in your essay, thesis, or article), we would still advise you to edit it. To edit

an SPSS table you should first double-click on it to get into the editing mode, and then to

double-click on that cell of the table which you would like to edit. For example, if youdouble-click on the label of the dependent variable ("Jurisdictional Hierarchy Beyond

Local Community"), the table will look as follows:

We would suggest that the table which we have made should be edited in the followingway:

1. The dependent variable could be more appropriately titled "Political Centralization

Index = # of Political Integration Levels over Community.”2. This variable labels should be re-named accordingly.

3. Numerical values of the variable should be added.1 

1 If you are going to use the respective database and respective variable in future, we

would advise you to do corresponding changes in database itself. We would also adviseyou to re-code V237 in the following way: 0 = No levels (no political authority beyond

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Chapter 4

14

As a result, the final version of the table will look as follows (Table 2.2):

Table 2.2:

Population Density * Political Centralization

29 6 1 36

80,6% 16,7% 2,8% 100%

17 5 22

77,3% 22,7% 100%

11 8 4 2 25

44,0% 32,0% 16,0% 8,0% 100%

7 9 4 5 2 27

25,9% 33,3% 14,8% 18,5% 7,4% 100%

9 13 5 5 2 34

26,5% 38,2% 14,7% 14,7% 5,9% 100%

4 6 4 3 2 19

21,1% 31,6% 21,1% 15,8% 10,5% 100%

3 1 5 4 6 19

15,8% 5,3% 26,3% 21,1% 31,6% 100%

80 48 23 19 12 182

44,0% 26,4% 12,6% 10,4% 6,6% 100%

1 = < 1 person / 5sq. mile

2 = 1 person / 1-5sq. mile

3 = 1-5 persons /

sq. mile

4 = 6-25 persons /sq. mile

5 = 26-100 persons

/ sq. mile

6 = 101-500persons / sq. mile

7 = over 500

persons / sq. mile

Population

Density

Total

0 = No levels

(Independentcommunities)

1 = One

level (Simplechiefdoms)

2 = Two levels

(Complexchiefdoms)

3 = Three

levels (Smallstates)

4 = Four levels

(Large states /empires)

Political Centralization Index = # of Political Integration Levels over 

Community

Total

 

And a possible final step. Normally, your essay, thesis, or article will be in Word, or

other similar program. So, you may need to move the table from SPSS to Word.

However, if you just copy and paste it, you will get the following:

community); 1 = One level (e.g., petty chiefdoms); 2 = Two levels (e.g., largerchiefdoms); 3 = Three levels (e.g., states); 5 = Four levels (e.g., large states).

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Cross-Tabs in Spss

15

Population Density * Political CentralizationPolitical

Centralization Index

= # ofPolitical

Integration Levels

overCommunit

y

Total

0 = Nolevels

(Independent

communities)

1 = Onelevel

(Simplechiefdoms

)

2 = Twolevels

(Complexchiefdoms

)

3 = Threelevels(Smallstates)

4 = Fourlevels

(Largestates /

empires)

Population Density

1 = < 1person / 5

sq. mile

Count 29 6 1 36

% withinPopulation Density

80,6% 16,7% 2,8% 100,0%

2 = 1person /1-5 sq.

mile

Count 17 5 22

% withinPopulation Density

77,3% 22,7% 100,0%

3 = 1-5persons /

sq. mile

Count 11 8 4 2 25

% withinPopulation Density

44,0% 32,0% 16,0% 8,0% 100,0%

4 = 6-25persons /

sq. mile

Count 7 9 4 5 2 27

% withinPopulation Density

25,9% 33,3% 14,8% 18,5% 7,4% 100,0%

5 = 26-100

persons /sq. mile

Count 9 13 5 5 2 34

% withinPopulation Density

26,5% 38,2% 14,7% 14,7% 5,9% 100,0%

6 = 101-500

persons /sq. mile

Count 4 6 4 3 2 19

% withinPopulatio

21,1% 31,6% 21,1% 15,8% 10,5% 100,0%

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Chapter 4

16

n Density

7 = over500

persons /sq. mile

Count 3 1 5 4 6 19

% withinPopulation Density

15,8% 5,3% 26,3% 21,1% 31,6% 100,0%

Total Count 80 48 23 19 12 182% within

Population Density

44,0% 26,4% 12,6% 10,4% 6,6% 100,0%

As you see, you will not get a real table, but rather a half-finished product.2 In order to

move to a Word document the whole table click on the table with the right-hand button,

and choose "Copy objects" (not just "Copy"!):

2 Note, however, that the SPSS is not 100% compatible with the Word yet, so the SPSS

objects sometimes "behave" in Word rather "capriciously"; hence, we advise you in

certain circumstances to consider this possibility – to prepare a normal Word table on the

 basis of such half finished product, rather than to insert into a Word document an SPSSobject.

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Cross-Tabs in Spss

17

 

 Now you can paste it safely into a word document.

Finally, for an exercise make a cross-tab for reliance on agriculture and fixity ofsettlement. If you follow the algorithm specified above correctly, the result should lookas follows:

A better way to export your table to Word or html

Finally, there is a way to import a cross-tab from SPSS to Word, which preserves all the

main features of the table and makes it possible to finish easily editing of a table in Word.

To follow this way just choose after clicking on an SPSS table with the right-hand button

"Export":

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Chapter 4

18

 

After this you will see the following:

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Cross-Tabs in Spss

19

 

Just press "OK". By default the HTML file will be saved in the directory in which you

are working. After this find file Output.htm in your working directory and open it. You

will see the following:

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Chapter 4

20

  Now press "Control-A" to select the table, copy it and paste it in a Word document withwhich you are working. If everything has been done correctly, the size of font and the

table can now be adjusted to fit the page, and the adjusted table should look as follows:Agriculture-Contribution to Local Food Supply * Fixity of Settlement Cross tabulation 

Fixity of Settlement

MigratorySeminomadic-

fixed thenmigratory

Rotatingamong2+ fixed

Semisedentary-fixed core, some

migratory

Impermanent-periodically

moved

Permanent 

Total

16 10 2 4 3 35None

45,7% 28,6% 5,7% 11,4% 8,6% 100,0%

  2 1 3Non-FoodCrops

66,7% 33,3% 100,0%

  9 6 1 1 17< 10%

52,9% 35,3% 5,9% 5,9% 100,0%

  3 2 2 1 4 12< 50% <single

source 25,0% 16,7% 16,7% 8,3% 33,3% 100,0%

  2 5 6 29 42< 50% >singlesource 4,8% 11,9% 14,3% 69,0% 100,0%

  1 1 1 8 66 77

Agriculture-Contributionto Local FoodSupply

Primarilyagricultural

1,3% 1,3% 1,3% 10,4% 85,7% 100,0%

  28 21 6 14 15 102 186Total

15,1% 11,3% 3,2% 7,5% 8,1% 54,8% 100,0%

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Cross-Tabs in Spss

 

 Now you can easily finish the editing of the table any way you like using just standardWord menu. Note that importing a cross-tab to Word this way you will spend much less

time and effort editing the table than when you just copy it directly from SPSS, which is

what you see in the following table.

Agriculture-Contribution to Local Food Supply * Fixity of Settlement Crosstabulation

16 10 2 4 3 35

45.7% 28.6% 5.7% 11.4% 8.6% 100%

2 1 3

66.7% 33.3% 100%

9 6 1 1 17

52.9% 35.3% 5.9% 5.9% 100%

3 2 2 1 4 12

25.0% 16.7% 16.7% 8.3% 33% 100%

2 5 6 29 42

4.8% 11.9% 14.3% 69% 100%

1 1 1 8 66 77

1.3% 1.3% 1.3% 10.4% 86% 100%

28 21 6 14 15 102 186

15.1% 11.3% 3.2% 7.5% 8.1% 55% 100%

None

Non-Food

Crops

< 10%

< 50% <

single source

< 50% >

single source

Primarily

agricultural

 Agriculture-Con

tribution to

Local Food

Supply

Total

Migra

tory

Seminom

adic-fixed

then

migratory

Rotating

among

2+ fixed

Semisede

ntary-fixed

core,

some

migratory

Imper 

manent

-periodi

cally

moved

Per 

man

ent

Fixity of Settlement

Total

However, though by now we know quite a lot about the relationship between the

variables of consideration, we have not tested the respective hypothesis statistically.In the next chapter we shall try to explain to you how to do this.