Chapter 3: Visual Displays of Data Flashcards
Techniques for Misleading with Graphs
False Face Validity Lie - Occurs when the method seems to represent what it says, but when we did a little deeper, it does not
Biased Scale Lie - Slants information in a particular way
The Sneaky Sample Lie - when people who participate in a study are preselected in such a way that the data turn out in a particular way
The Interpolation Lie - There is an unreasonable number of in-between data points being reported
The Extrapolation Lie - Assumes knowledge of information outside the study
The Inaccurate Values Lie - Sometimes involves telling the truth in one part of the data but visually distorting it in another place
The Outright Lie - Lying for the sake of producing a specific number
Types of Graphs
Scatterplot, Line Graphs, and Bar Graphs
Scatterplot
A graph that depicts the relation between two scale variables. The values of each variable are marked along the two axes. A mark is made to indicate the intersection of the two scores for each participant. The mark is above the participant’s score on the x-axis and across from the score of the y-axis.
Similarity between scatter plots and line graphs
They are both used to depict relations between two scale variables
Range Frame
A scatterplot or related graph that indicates the range of the data on each axis; the lines extend only from the minimum to the maximum scores
How to create a scatterplot
- Organize the data by participant; each participant will have two scores, one on each scale variable
- Label the horizontal x-axis with the name of the independent variable and its possible values, starting with 0 if practical
- Label the vertical y-axis with the name of the dependent variable and its possible values, starting with 0 if practical
- Make a mark on the graph above each study participant’s score on the x-axis and next to his or her score on the y-axis
- To convert to a range-frame, simply erase the axes below the minimum score and above the maximum score
Linear Relation
The relation between variables is best described by a straight line
Nonlinear Relation
Best described by a line that breaks or curves in some way
Line Graph
Used to illustrate the relation between two scale variables; sometimes the line represents the predicted y scores for each x value, and sometimes the line represents change in a variable over time
Line of best fit
Allows us to use the x value to predict the y value
Time Plot or Time Series Plot
A graph that plots a scale variable on the y-axis as it changes over an increment of time (second, day, century) labeled on the x axis; possible to graph several scale variables at the same time so the viewer can compare the trends of two or more variables over time
Steps to Create a Time Plot
- Label the x-axis with the name of the independent variable and its possible values. The independent variable should be an increment of time
- Label the y-axis with the name of the dependent variable and its possible values, starting with 0 if practical
- Make a mark above each value on the x-axis at the value for that time on the y-axis
- Connect the dots
- To convert to a range-frame, erase the y-axis below the minimum y value and above the maximum y value
Bar Graphs
Visual depictions of data when the independent variable is nominal or ordinal and the dependent value is a scale. Each bar typically represents the average value of the dependent variable for each category; highlight differences between averages and percentages
Pareto Chart
Type of bar graph in which the categories along the x-axis are ordered from the highest bar on the left to the lowest bar on the right
Pictorial Graph
Visual depiction of data typically used for an independent variable with very few levels and a scale dependent variable. Each level uses a picture or symbol to represent its value on the scale dependent variable