Graphs with SPSS Aravinda Guntupalli Bar charts Bar Charts are used for graphical representation of Nominal and Ordinal data Height of the bar is proportional to the number of values in the category. Select the icon for the chart type you want, and select the option under Data. You can either show group of cases or groups of variables using bar chart. Summaries for Groups of Cases Categories of a single variable are summarized. Bar height is determined by the Bars Represent option. Example: To see number of males and females from the Gender variable Bar chart for SES 100 90 80 70 60 Count 50 40 low SES middle high How to? From the menus, choose: Graphs, Bar Select the icon for Simple and select Summaries for groups of cases. Select Define. Select a variable for the category axis and move it into the Category Axis box. This variable may be numeric, string, or long string. Summaries of groups of variables Two or more variables are summarized within categories of another variable. Two or more Bars Represent variables (Var 1, Var 2). For example bar chart for gender and SES variables. Clustered Bar chart (a) 58 56 For Numeric variable 54 52 50 Mean 48 science score 46 social studies score low SES middle high How to? From the menus, choose: Graphs and Bar Select the icon for Clustered and select Summaries of separate variables. Select Define. Select at least two variables and move them into the Bars Represent box. These variables must be numeric. Select a category variable and move it into the Category Axis box. This variable may be numeric, string or long string. Clustered Bar chart (b) 50 40 30 SES 20 Count low middle 10 high .00 GENDER 1.00 How to? From the menus, choose: Graphs and Bar Select the icon for Clustered and select Summaries of groups of cases. Select Define. Select at least two variables and move them into the Bars Represent box. These variables can be categorical. Pie Diagram The Pie Chart is an alternative to the Bar Chart for Nominal and Ordinal data. The proportion of the Pie represents the category’s percentage in the population or sample. Must identify slices. Pie diagram high 29.0% low 23.5% middle 47.5% How to make pie diagram? From the menus, choose: Graphs and Pie Select Summaries for groups of cases. Select Define. Select a variable and move it into the Define Slices by box. This variable may be numeric, string, or long string. Boxplot A boxplot consists of box and 2 tails. The horizontal line inside the box tells the position of the median and its upper and lower boundaries are its upper and lower quartiles. The tails run to the most extreme values. boxplot in sum shows structure of the data along with its skewness and spread. Drawing a boxplot. Question: We have recorded the heights in cm of boys in a class as shown below. We will draw a boxplot for this data. Q2 QL Qu 137, 148, 155, 158, 165, 166, 166, 171, 171, 173, 175, 180, 184, 186, 186 Lower Quartile = 158 130 140 Upper Quartile = 180 Median = 171 150 160 170 180 cm 190 Boxplot 80 70 60 50 40 30 20 N = SES 47 95 58 low middle high How to make a boxplot? From the menus, choose: Graphs and Boxplot Select the icon for Simple and select Summaries for groups of cases. Select Define. Select the variable for which you want boxplots, and move it into the Variable box. Select a variable for the category axis and move it into the Category Axis box. This variable may be numeric, string, or long string. Histogram A Histogram is a graphical representation of a frequency distribution for continuous data. The height is proportional to the frequency of that class Histogram (2) 30 20 10 Std. Dev = 9.37 Mean = 52.6 N = 200.00 0 32.5 37.5 35.0 42.5 40.0 math score 47.5 45.0 52.5 50.0 57.5 55.0 62.5 60.0 67.5 65.0 72.5 70.0 75.0 How to make histogram? From the menus, choose: Graphs and Histogram Select a numeric variable for Variable in the Histogram dialog. Select Display normal curve to display a normal curve on the histogram. Negatively skewed Positively skewed Number of modal classes A modal class is the one with the largest number of observations. The modal class A unimodal histogram Number of modal classes A modal class A modal class A bimodal histogram Bell shaped histogram Many Statistical techniques require normal distribution. Histogram helps verify the shape of population. Scatter plot (1) To know the relationships between two quantitative variables we are interested in we can use scatter plots. A scatter diagram plots the value of one economic variable against the value of another variable. It can be used to reveal whether a relationship exists and the type of relationship that exists. A scatter plot can describe the relation between reading and writing scores. Scatter plot (2) 80 70 60 50 40 30 20 30 writing score 40 50 60 70 Typical Patterns Positive linear relationship Negative nonlinear relationship No relationship Negative linear relationship Nonlinear (concave) relationship How to make scatter plots? From the menus, choose: Graphs and Scatter Select the icon for Simple. Select Define. You must select a variable for the Y-axis and a variable for the X-axis. These variables must be numeric, but should not be in date format. You can select a variable and move it into the Set Markers by box. This variable may be numeric or string. P-P plots Plots a variable’s cumulative proportions against the cumulative proportions of any of a number of test distributions. Probability plots are generally used to determine whether the distribution of a variable matches a given distribution. If the selected variable matches the test distribution, the points cluster around a straight line. Normal P-P plot Normal P-P Plot of math score 1.00 .75 .50 .25 0.00 0.00 .25 Observed Cum Prob .50 .75 1.00 How to make P-P plots? From the menus, choose: Graphs and P-P Select one or more numeric variables and move them onto the Variables list. Select a test distribution. Q_Q plots Plots the quantiles of a variable's distribution against the quantiles of any of a number of test distributions. Probability plots are generally used to determine whether the distribution of a variable matches a given distribution. If the selected variable matches the test distribution, the points cluster around a straight line. How to make Q-Q plots? From the menus, choose: Graphs and Q_Q Select one or more numeric variables and move them onto the Variables list. Select a test distribution. Normal Q_Q plot Normal Q-Q Plot of math score 80 70 60 50 40 30 20 20 30 Observed Value 40 50 60 70 80 Thank You Wish you colorful time making graphs