Sunday, November 13, 2011

Star Plot

Star Plots allow you to compare multiple variables. You can compare any number of variables to see how they may or may not relate to one another. Radii (half a diameter of a circle), represent each plotted variable. The proper name for a radii in a Star Plot is equi-angular spoke. It is a way of showing multivariate data.

The graph shown is a Star Plot of Motor Trend Cars seven rating areas. The areas that are being rated: disp, cyl, mpg, qsec, draf, hp. The larger the area is on the Star Plot, the greater the amount of the variable.

http://addictedtor.free.fr/graphiques/graphcode.php?graph=63

Correlation Matrix

Correlation Matrix is a symmetric square matrix which displays the relationship between a set of data. The same data set is listed on the vertical and horizontal axis.

The graph shown is a Correlation matrix of twenty variables.

http://wiki.eigenvector.com/index.php?title=Tools_CorrelationMap

Similarity Matrix

Similarity Matrixes show the similarity between variables. There is a line that goes across the greatest length of the graph that shows 100% similarity. This line seems inevitable no matter what you are graphing. Squares are used to create, generally a cube, as to what will be representing the data, The squares size, color, shading, or/and pattern could vary to show the similarity or difference between the variables.

The graph shown is a Similarity Matrix of “Correlation matrices for two polymers showing similarity relationships among pairs of conformations.”

http://www.renci.org/~sthakur/

Stem & Leaf Plot

Stem & Leaf Plots help show the distribution of a selected group of numbers or values. Generally this graph is used for two digit numbers but can be used for any number of digit values. The last digit in each number is shown on the right side of the Stem & Leaf plot. The first digit(s) are shown on the left side of the Stem & Leaf Plot. If it is a three digit number being plotted, then the first two digits will be on the left side of the stem and the last digit on the right. This type of graph helps show repeated numbers and patterns between numbers. If numbers are not integers, they are rounded.

The graph shown is a Stem & Leaf Plot listing the "Ages of People at Family Reunion." The ages of the people taken from the Stem & leaf Plot: 1, 8, 9, 32, 34, 37, 45, 51, 55, 81. So I would guess there was one grandparent, three grandchildren, and six siblings.

http://www.eduplace.com/math/mhm/5/06a/index.html

Box Plot

Box Plot is also known as Box and Whisker Diagram. In this graph the beginning of the box represents the 25th percentile and the end of the box represents the 75th percentile, the line inside the box marks the meridian or 50th percentile. The whisker part of this graph can represent a few different values: minimum and maximum, the 10th and 90th percentiles, one standard deviation above and below the mean, and any other statistical value of importance relating to the shown data.

The graph shown is a Box (Box and Whisker) Plot of "Guinea Pigs' Tooth growth."  This Box Plot shows the relationship between Tooth Length and Vitamin C dose in mg. The shading of the boxes indicates how the Vitamin C dose was given. Yellow indicates Ascorbic Acid and orange indicates Orange Juice. The horizontal axis shows the Vitamin C dose. The vertical axis shows Tooth Length.

http://sphaerula.com/legacy/R/boxplotTwoWay.html

Histogram

Histograms are similar to bar charts but with one crucial difference. The bars in a bar chart show their value by the height, whereas, in a Histogram the width of the bars relates to its value and the height refers to the frequency of the value. In a bar chart each bar represents a different category while its height represents the frequency the category comes up. In a Histogram each bar represents the same category but indicates the value or range of values by its placement along the horizontal axis and its occurrences by its height relative to the vertical axis. Easy way to depict the two graphs is that a bar chart’s bars will have space between them and a Histogram’s bars usually don’t.

The graph shown is a Histogram of “Distribution of salaries of the Acme Corporation.” The Horizontal axis displays the salary ranges of the employees in thousands. The vertical axis displays the number of employees that earn a salary in the salary ranges.

http://www.statcan.gc.ca/edu/power-pouvoir/ch9/histo/5214822-eng.htm

Parallel Coordinate Graph

Parallel Coordinate Graphs are drawn on a vertical graph with a connected set of points plotted at each of the vertical intervals. Points are only plotted on the parallel vertical lines. Theses point are referred to as Vertexes which is defined as a corner or intersection with regards to a line. These points are connected in between the parallel lines by polylines which are a connected series of line segments.

The graph shown is a Parallel Coordinate Graph of cell variations based on nine DNA strands. The parallels are the nine DNA strands. The lines represent different cells and their relationship to the nine DNA variations.