Univariate. %Cap. A dotplot is used for real-valued variables. A dot is positioned along an axis to represent the data value

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1 Basic Plots Univariate, bivariate, multivariate Histogram, boxplot, dotplot, barchart, spine plot Scatterplot, density plots, mosaic plot Parallel coordinate plot, profile plots Maps Time series plots

2 Data and its shapes Data comes in a lot of different formats We will assume that we can always get it into a shape (spread-sheet like) with headers at the top columns for each piece of information and rows for each object

3 Univariate A dotplot is used for real-valued variables. A dot is positioned along an axis to represent the data value % capitals %Cap

4 Univariate Histograms are used for realvalued variables. Values are binned and the count is displayed by a rectangle Frequency Frequency Breaks at $ Tips ($) Breaks at 10c Tips ($)

5 Univariate Boxplots are used for real-valued variables The data values are summarized by 5 numbers: min, Q1, median, Q3, max The boxplot displays just these 5 numbers Max 10 Q3 3.6 Median 2.9 Q1 2 Min 1 Tips

6 Univariate Barcharts are used for categorical data Gender of person paying the bill The count for each category is represented by the height of a rectangle F M F M

7 Univariate Spine plots are used for categorical variables The count for each category is represented by the width of a rectangle Most useful when there are two variables or more. F M Gender F M

8 Bivariate Total Bill Total Tip r=0.68 Scatterplots place a dot representing a pair of numbers on a Cartesian plane Bill Tip

9 Bivariate Density plots : hexagonal grids (Carr) Tip Counts Total Bill

10 Bivariate A mosaic plot represents a two way table of categorical variables. It starts from a spine plot and divides the bars according to counts of a second variable. Thu Fri Sat Sun F M Gender M F Thu Day Fri Sat Sun

11 Barcharts with two variables Stacked barchart Side-by-side barchart Female Male Female Male Thu Fri Sat Sun Thu Fri Sat Sun Day Day

12 Multivariate A parallel coordinate plot changes from orthogonal Cartesian axes to parallel axes. Bill Tip Standardized Values Bill Tip Standardized Values Bill Tip Variables Variables

13 Parallel coordinate plots Look for patterns in the direction of the lines Standardized Values Bill Tip Gender Variables

14 Parallel coordinate plots Standardized Values Measurements on Beetles What patterns do you see here? tars1 aede3 aede2 aede1 head tars2 Variables

15 Maps Convention North at top The problems with taking longitude at number value Aspect ratio of lat to long Small regions/areas and reading information

16 Longitude at numerical value and aspect ratio of longitude to latitude Can you imagine what the world would look like if the vertical and horizontal plot space were equal? This location is both -180 and 180

17 Small areas/regions 2004 election results on map: red=republican, blue=democrat Cartogram of 2004 election results

18 Time series plots Temporal scale: Days of weeks need to be in conventional order, lines,... Count What s wrong with this plot? Average number of sunspots Lines indicate temporal dependency Year Fri Sat Sun Thu Day

19 Combinations Beetles Small multiples is an approach advocated by Tufte to plotting multiple variables in a digestible way. This might be considered as combinations of basic plots ~ tars1 tars2 head aede1 aede aede

20 Dotplots Barley yield for two different years for 6 locations in Minnesota and 10 varieties Trebi Wisconsin No. 38 No. 457 Glabron Peatland Velvet No. 475 Manchuria No. 462 Svansota Trebi Wisconsin No. 38 No. 457 Glabron Peatland Velvet No. 475 Manchuria No. 462 Svansota Trebi Wisconsin No. 38 No. 457 Glabron Peatland Velvet No. 475 Manchuria No. 462 Svansota Trebi Wisconsin No. 38 No. 457 Glabron Peatland Velvet No. 475 Manchuria No. 462 Svansota Trebi Wisconsin No. 38 No. 457 Glabron Peatland Velvet No. 475 Manchuria No. 462 Svansota Trebi Wisconsin No. 38 No. 457 Glabron Peatland Velvet No. 475 Manchuria No. 462 Svansota Waseca Crookston Morris University Farm Duluth Grand Rapids Barley Yield (bushels/acre)

21 Boxplots or Dotplots Different representations of the heights of the New York Choral Society Bass 2 Bass 1 Tenor 2 Tenor 1 Alto 2 Alto 1 Soprano 2 Soprano Soprano 1 Soprano 2 Alto 1 Alto 2 Tenor 1 Tenor 2 Bass 1 Bass Height (inches) ~

22 Basic plots form the core How does Napoleon s March use basic plots? time series plot + map + barchart How is John Snow s cholera map related to a basic plot? Map + scatterplot

23 Napoleon s March Basic plot(s)?

24 Cholera map

25 CANADA And on a Global Scale CANADA UNITED STATES MEXICO BAHAMAS CUBA JAMAICA MEXICO GUATEMALA HAITI BELIZE EL SALVADOR NICARAGUA HONDURAS GUATEMALA GUATEMALA COSTA RICA VENEZUELA EL SALVADOR PANAMA NICARAGUA NICARAGUA COLOMBIA COSTA RICA ECUADOR PANAMA COLOMBIA PERU ECUADORBOLIVIA PERU PARAGUAY CHILE BOLIVIA BOLIVIA ARGENTINA CHILE PARAGUAY CHILE URUGUAY URUGUAY ARGENTINA DOMINICAN REPUBLIC Highly Industrialized Countries GAMBIA GUINEA- BISSAU BARBADOS TRINIDAD/TOBAGO ALGERIA Belguim Russia Fed Poland Austria TUNISIA LIBYA VENEZUELA Ukraine BARBADOS KazakhstanSwitzerland BARBADOS Moldova SURINAME France TRINIDAD, TOBAGO GUYANA Norway MAURITANIA GUYANA Romania Finland Hungary Albania SURINAME England Spain Greece Portugal Ireland Italy Germany Bulgaria MOROCCO MALI Yugo Czech NIGERIA Rep BRAZIL SURINAME SENEGAL Latavia Lithuania BURKINA FASO GUINEA SIERRA LEONE LIBERIA Latin America and the Caribbean North Africa and the Middle East Eastern Europe and Central Asia Southern and Eastern Asia Sub-Saharan Africa NEW CASES The estimated number of new H.I.V./AIDS cases in highly industrialized countries has decreased slightly since the 1980 s but has continued growing in sub-saharan Africa. In many countries, reliable statistics on AIDS are hard to obtain. Unaids, the United Nations AIDS agency, relies on these numbers. Each square on the grid represents 2,500 people with AIDS. IVORY COAST 4 million 3 million 2 million GHANA GABON TOGO CONGO REP. BENIN Bosnia/ Herz CAMEROON ANGOLA CONGO NAMIBIA PORTUGAL SPAIN Crotia NIGER CENTRAL AFRICAN REPUBLIC RWANDA Sweeden ZAMBIA BRITAIN IRELAND BELGIUM AUSTRIA CZECH REP. BOTSWANA BURUNDI SWEDEN NORWAY DENMARK NETHERLANDS FRANCE CHAD GER. Slovenia ITALY MALAWI ZIMBABWE FINLAND POLAND ESTONIA, LATVIA, LITHUANIA BELARUS UGANDA KENYA UKRAINE MIDDLE EAST BALKANS KAZAKHSTAN AFGHANISTAN SUDAN RUSSIA TANZANIA PAKISTAN EGYPT ETHIOPIA MOZAMBIQUE SWAZILAND INDIA ERITREA DJIBOUTI NEPAL SRI LANKA MONGOLIA CHINA LIVING WITH AIDS BANGLADESH The estimated number of people living with H.I.V./AIDS has exploded in sub-saharan Africa while staying relatively level in highly industrialized countries. Myanmar MYANMAR EACH DOT REPRESENTS 2,500 PEOPLE LIVING WITH AIDS SOUTH KOREA THAILAND MALAYSIA SINGAPORE VIETNAM CAMBODIA INDONESIA 25 million 20 million 15 million 10 million AIDS in the NY Times JAPAN LAOS PAPUA NEW GUINEA AUSTRALIA PHILIPPINES NEW ZEALAND SUB-SAHARAN AFRICA SOUTHERN AND EASTERN ASIA 1 million LESOTHO MADAGASCAR SUB-SAHARAN AFRICA SOUTHERN AND EASTERN ASIA 5 million 0 HIGHLY INDUSTRIALIZED EASTERN COUNTRIES EUROPE AND CENTRAL ASIA LATIN AMERICA AND THE CARIBBEAN NORTH AFRICA AND THE MIDDLE EAST * * Preliminary numbers SOUTH AFRICA 0 HIGHLY INDUSTRIALIZED COUNTRIES LATIN AMERICA AND THE CARIBBEAN EASTERN EUROPE AND CENTRAL ASIA NORTH AFRICA AND THE MIDDLE EAST * Source: * UNAIDS Preliminary numbers Source: UNAIDS

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