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SW318
 Social
  Work
Statistics
             Problem 1: Relationship between Two
 Slide 1                Variables-1 (1)

               First, identify two variables with which this
               question is related. Here, the variables of
               interest are [attend] and [sex].




                        Second, examine the direction of relationship. In
                        other words, for example, examine whether female
                        were “more” or “less” likely to attend religious
                        services more than once a week than male.
SW318
 Social
  Work
Statistics   Problem 1: Relationship between Two
 Slide 2
                        Variables-1 (2)




                         Furthermore, by now, you should be able
                         to identify that [sex] is an independent
                         variable and [attend] is a dependent
                         variable in this statement.
                         Now, let’s explore how to answer this
                         question using SPSS.
SW318
 Social
  Work
Statistics
 Slide 3     Cross Tabulation in SPSS-1 (1)




                    Recall that the cross tabulation is a way to examine
                    the relationship between two variables. In SPSS, you
                    can get a cross tabulation in

                    Analyze > Descriptive Statistics >
                    Crosstabs…

                    In other words, click on Analyze in the menu bar,
                    select Descriptive Statistics, then Crosstabs…
SW318
 Social
  Work
Statistics
 Slide 4     Cross Tabulation in SPSS-1 (2)




                In the Crosstabs window, find and move the
                independent and dependent variable to
                Column(s): and Row(s): boxes, respectively. In
                this case, the independent variable [sex] goes to
                Column(s): box and the dependent variable
                [attend] goes to Row(s): box.
SW318
 Social
  Work
Statistics
 Slide 5     Cross Tabulation in SPSS-1 (3)




                            Next, click on the Cells…
                            button to get percentage
                            values for each cell in
                            the cross tabulation.
SW318
 Social
  Work
Statistics
 Slide 6               Cross Tabulation in SPSS-1 (4)




             In the Cell Display window, select the Column in the
             Percentages section. It allows you to have percentage value
             separately calculated for each category of the independent
             variable. Make sure that Observed was selected in the Counts
             section although it should be checked by default.
             Click on Continue and OK buttons to see the cross tabulation.
SW318
 Social
  Work
Statistics
 Slide 7     Cross Tabulation in SPSS-1 (5)




                                     The output displays two
                                     tables, one for case
                                     processing summary
                                     and the other for cross
                                     tabulation of the two
                                     variables. Notice that
                                     [sex] is on the column
                                     and [attend] is on the
                                     row of the cross
                                     tabulation as we
                                     assigned.
SW318
 Social
  Work
Statistics
 Slide 8     Cross Tabulation in SPSS-1 (6)




                                Also notice that the percentage
                                values were calculated by column
                                (i.e., [sex]). For example, the
                                percentage value on the row
                                labeled “8 MORE THAN ONCE
                                WK”, “% within RESPONDENTS
                                SEX”, in the column labeled “1
                                MALE” was obtained with the
                                count of the cell (18) divided by
                                the count of the males (291) (i.e.
                                18/291=6.2%). In other words,
                                6.2% of male respondents said
                                that they attended religious
                                services more than once a week.
SW318
 Social
  Work
Statistics
 Slide 9     Cross Tabulation in SPSS-1 (7)



                                  While 6.2% of male
                                  respondents, or 18 out of 291
                                  males, said that they attended
                                  religious services more than
                                  once a week, 9.3% of female
                                  respondents, or 35 out of 375
                                  females, said that they
                                  attended religious services
                                  more than once a week.
                                  Thus, we can conclude that
                                  female respondents were
                                  more likely to have said that
                                  they attended religious
                                  services more than once a
                                  week than male.
SW318
 Social
  Work
Statistics
Slide 10     Cross Tabulation in SPSS-1 (8)

                                  Using the frequency for each
                                  category (i.e., male, female) to
                                  compare the likelihood of a
                                  specific answer can be
                                  misleading. At the row labeled
                                  “0 NEVER”, for example, more
                                  female respondents (56) said
                                  that they have never attended
                                  religious services than males
                                  (53), which sounds true when
                                  we simply look at the counts.
                                  However, when we compare
                                  the % within respondents’ sex
                                  the relationship becomes
                                  reverse and males (18.2%)
                                  are more likely to say that they
                                  have never attended religious
                                  services than females
                                  (14.9%).
SW318
 Social
  Work
Statistics   Problem 2: Relationship between Two
Slide 11
                         Variables-2




                                       This question is asking
                                       whether there is a
                                       relationship between
                                       [sex] and [ethimp].
                                       Again, you have to
                                       know that [sex] is an
                                       independent variable
                                       and [ethimp] is a
                                       dependent variable
                                       here.
SW318
 Social
  Work
Statistics
Slide 12     Cross Tabulation in SPSS-2 (1)




                    Recall that you can get a cross tabulation in

                    Analyze > Descriptive Statistics >
                    Crosstabs…

                    In other words, click on Analyze in the menu bar,
                    select Descriptive Statistics, then Crosstabs…
SW318
 Social
  Work
Statistics
Slide 13     Cross Tabulation in SPSS-2 (2)




                               First, in the Crosstabs window,
                               find and move the independent
                               variable [sex] to Column(s): box
                               and the dependent variable
                               [ethimp] to Row(s): box.
                               Next, click Cells… button and
                               select Columns in Percentages
                               section.
SW318
 Social
  Work
Statistics
Slide 14     Cross Tabulation in SPSS-2 (3)




                Make sure that Observed in
                Counts section and Column
                in Percentages section were
                selected. Then click
                Continue and OK buttons to
                get the crosstab.
SW318
 Social
  Work
Statistics
Slide 15                    Cross Tabulation in SPSS-2 (4)

       We can say that a relationship
       exists between two variables in
       a bivariate table if the groups
       defined by the independent
       variable have differences of
       10% or more in the categories
       of the dependent variable. In
       this case, the largest difference
       in the column percentages for
       survey respondents in the
       categories of "importance of
       ethnic identity" when compared
       across the groups defined by
       "sex" (male and female) was
       that of “3 Moderately
       Important”, which was 3.5%
       (=28.0-24.5). Thus no
       relationship exists between two
       variables.
SW318
 Social
  Work
Statistics   Problem 3: Relationship between Two
Slide 16
                        Variables-3 (1)




               This question asks about how much is the relationship
               between the two variables. Notice that the dependent
               variable in this question is [ethtrads] and the independent
               variable is [sex].
SW318
 Social
  Work
Statistics
Slide 17                        Cross Tabulation in SPSS-3 (1)


             The cross tabulation shows
             that 32% of female and 26%
             of male respondents have
             said that they strongly agree
             that each ethnic group has
             the right to maintain its unique
             traditions. In other words,
             female were about one and a
             quarter times
             (32.0/26.0=1.23) more likely
             to have said they strongly
             agreed that each ethnic group
             has the right to maintain its
             unique traditions than survey
             respondents who were male.
SW318
 Social
  Work
Statistics
Slide 18       Steps in solving crosstabulation problems - 1

              Question: is group defined by independent variable more (less)
                        likely to have dependent variable characteristic?

                                    Create cross-tabulated table in SPSS with
                                    independent variable as the column variable
                                    and the dependent as the row variable.
                                    Include column percentages.




                                           Is the column percentage in
                                           the dependent variable                 No
                                                                                       False
                                           category larger (smaller) for
                                           the more (less) likely group?



             NOTE: when the
                                                           Yes
             column percentages
             are very similar, we
             can say the groups                        True
             are about equally
             likely.
SW318
 Social
  Work
Statistics
Slide 19        Steps in solving crosstabulation problems - 2

              Question: is there a relationship between the independent and
                        the dependent variable?
                                           Create cross-tabulated table in SPSS with
                                           independent variable as the column variable
                                           and the dependent as the row variable.
                                           Include column percentages.




                                                 Differences in the column
                                                 percentages equal to or larger
                                                 than 10% in any category of             No
                                                                                              False
                                                 the dependent variable
                                                 (ignoring rows or columns with
                                                 fewer than 10 subjects)?
             When a problem includes
             two variables, but does
             not identify the role of
             either one, treat the first
             mentioned variable as                                   Yes
             the independent variable.
                                                              True
SW318
 Social
  Work
Statistics
Slide 20     Steps in solving crosstabulation problems - 3

             Question: is group defined by independent variable ? times more
                       likely to have dependent variable characteristic?

                          Create cross-tabulated table in SPSS with
                          independent variable as the column variable
                          and the dependent as the row variable.
                          Include column percentages.




                                Is the percent in the
                                independent variable category           No
                                for the more likely group ÷ the              False
                                percent for the less like group
                                equal to the correct ratio?




                                                 Yes

                                              True

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  • 1. SW318 Social Work Statistics Problem 1: Relationship between Two Slide 1 Variables-1 (1) First, identify two variables with which this question is related. Here, the variables of interest are [attend] and [sex]. Second, examine the direction of relationship. In other words, for example, examine whether female were “more” or “less” likely to attend religious services more than once a week than male.
  • 2. SW318 Social Work Statistics Problem 1: Relationship between Two Slide 2 Variables-1 (2) Furthermore, by now, you should be able to identify that [sex] is an independent variable and [attend] is a dependent variable in this statement. Now, let’s explore how to answer this question using SPSS.
  • 3. SW318 Social Work Statistics Slide 3 Cross Tabulation in SPSS-1 (1) Recall that the cross tabulation is a way to examine the relationship between two variables. In SPSS, you can get a cross tabulation in Analyze > Descriptive Statistics > Crosstabs… In other words, click on Analyze in the menu bar, select Descriptive Statistics, then Crosstabs…
  • 4. SW318 Social Work Statistics Slide 4 Cross Tabulation in SPSS-1 (2) In the Crosstabs window, find and move the independent and dependent variable to Column(s): and Row(s): boxes, respectively. In this case, the independent variable [sex] goes to Column(s): box and the dependent variable [attend] goes to Row(s): box.
  • 5. SW318 Social Work Statistics Slide 5 Cross Tabulation in SPSS-1 (3) Next, click on the Cells… button to get percentage values for each cell in the cross tabulation.
  • 6. SW318 Social Work Statistics Slide 6 Cross Tabulation in SPSS-1 (4) In the Cell Display window, select the Column in the Percentages section. It allows you to have percentage value separately calculated for each category of the independent variable. Make sure that Observed was selected in the Counts section although it should be checked by default. Click on Continue and OK buttons to see the cross tabulation.
  • 7. SW318 Social Work Statistics Slide 7 Cross Tabulation in SPSS-1 (5) The output displays two tables, one for case processing summary and the other for cross tabulation of the two variables. Notice that [sex] is on the column and [attend] is on the row of the cross tabulation as we assigned.
  • 8. SW318 Social Work Statistics Slide 8 Cross Tabulation in SPSS-1 (6) Also notice that the percentage values were calculated by column (i.e., [sex]). For example, the percentage value on the row labeled “8 MORE THAN ONCE WK”, “% within RESPONDENTS SEX”, in the column labeled “1 MALE” was obtained with the count of the cell (18) divided by the count of the males (291) (i.e. 18/291=6.2%). In other words, 6.2% of male respondents said that they attended religious services more than once a week.
  • 9. SW318 Social Work Statistics Slide 9 Cross Tabulation in SPSS-1 (7) While 6.2% of male respondents, or 18 out of 291 males, said that they attended religious services more than once a week, 9.3% of female respondents, or 35 out of 375 females, said that they attended religious services more than once a week. Thus, we can conclude that female respondents were more likely to have said that they attended religious services more than once a week than male.
  • 10. SW318 Social Work Statistics Slide 10 Cross Tabulation in SPSS-1 (8) Using the frequency for each category (i.e., male, female) to compare the likelihood of a specific answer can be misleading. At the row labeled “0 NEVER”, for example, more female respondents (56) said that they have never attended religious services than males (53), which sounds true when we simply look at the counts. However, when we compare the % within respondents’ sex the relationship becomes reverse and males (18.2%) are more likely to say that they have never attended religious services than females (14.9%).
  • 11. SW318 Social Work Statistics Problem 2: Relationship between Two Slide 11 Variables-2 This question is asking whether there is a relationship between [sex] and [ethimp]. Again, you have to know that [sex] is an independent variable and [ethimp] is a dependent variable here.
  • 12. SW318 Social Work Statistics Slide 12 Cross Tabulation in SPSS-2 (1) Recall that you can get a cross tabulation in Analyze > Descriptive Statistics > Crosstabs… In other words, click on Analyze in the menu bar, select Descriptive Statistics, then Crosstabs…
  • 13. SW318 Social Work Statistics Slide 13 Cross Tabulation in SPSS-2 (2) First, in the Crosstabs window, find and move the independent variable [sex] to Column(s): box and the dependent variable [ethimp] to Row(s): box. Next, click Cells… button and select Columns in Percentages section.
  • 14. SW318 Social Work Statistics Slide 14 Cross Tabulation in SPSS-2 (3) Make sure that Observed in Counts section and Column in Percentages section were selected. Then click Continue and OK buttons to get the crosstab.
  • 15. SW318 Social Work Statistics Slide 15 Cross Tabulation in SPSS-2 (4) We can say that a relationship exists between two variables in a bivariate table if the groups defined by the independent variable have differences of 10% or more in the categories of the dependent variable. In this case, the largest difference in the column percentages for survey respondents in the categories of "importance of ethnic identity" when compared across the groups defined by "sex" (male and female) was that of “3 Moderately Important”, which was 3.5% (=28.0-24.5). Thus no relationship exists between two variables.
  • 16. SW318 Social Work Statistics Problem 3: Relationship between Two Slide 16 Variables-3 (1) This question asks about how much is the relationship between the two variables. Notice that the dependent variable in this question is [ethtrads] and the independent variable is [sex].
  • 17. SW318 Social Work Statistics Slide 17 Cross Tabulation in SPSS-3 (1) The cross tabulation shows that 32% of female and 26% of male respondents have said that they strongly agree that each ethnic group has the right to maintain its unique traditions. In other words, female were about one and a quarter times (32.0/26.0=1.23) more likely to have said they strongly agreed that each ethnic group has the right to maintain its unique traditions than survey respondents who were male.
  • 18. SW318 Social Work Statistics Slide 18 Steps in solving crosstabulation problems - 1 Question: is group defined by independent variable more (less) likely to have dependent variable characteristic? Create cross-tabulated table in SPSS with independent variable as the column variable and the dependent as the row variable. Include column percentages. Is the column percentage in the dependent variable No False category larger (smaller) for the more (less) likely group? NOTE: when the Yes column percentages are very similar, we can say the groups True are about equally likely.
  • 19. SW318 Social Work Statistics Slide 19 Steps in solving crosstabulation problems - 2 Question: is there a relationship between the independent and the dependent variable? Create cross-tabulated table in SPSS with independent variable as the column variable and the dependent as the row variable. Include column percentages. Differences in the column percentages equal to or larger than 10% in any category of No False the dependent variable (ignoring rows or columns with fewer than 10 subjects)? When a problem includes two variables, but does not identify the role of either one, treat the first mentioned variable as Yes the independent variable. True
  • 20. SW318 Social Work Statistics Slide 20 Steps in solving crosstabulation problems - 3 Question: is group defined by independent variable ? times more likely to have dependent variable characteristic? Create cross-tabulated table in SPSS with independent variable as the column variable and the dependent as the row variable. Include column percentages. Is the percent in the independent variable category No for the more likely group ÷ the False percent for the less like group equal to the correct ratio? Yes True