|
| 1 | +--- |
| 2 | +title: "Stat 33A - Lecture Notes 7" |
| 3 | +date: Oct 4, 2020 |
| 4 | +output: pdf_document |
| 5 | +--- |
| 6 | + |
| 7 | + |
| 8 | +Exploratory Data Analysis |
| 9 | +========================= |
| 10 | + |
| 11 | +What does it mean to "explore" data? |
| 12 | + |
| 13 | +* Look for patterns (examine variation in the data) |
| 14 | +* Look for errors in the data |
| 15 | +* Look for relationships between variables |
| 16 | +* Look at data to get an overview (what data are present?) |
| 17 | +* Check assumptions (model, conclusions, etc) |
| 18 | + |
| 19 | +What are the techniques to "explore" data? |
| 20 | + |
| 21 | +* Make plots |
| 22 | +* Compute summary statistics |
| 23 | +* Fit models (including hypothesis tests, machine learning) |
| 24 | + |
| 25 | + |
| 26 | +The table below has _suggestions_ for choosing an appropriate plot |
| 27 | +based on the data types. |
| 28 | + |
| 29 | +You also need to think about what you're trying to convey. |
| 30 | + |
| 31 | +First Feature | Second Feature | Plot |
| 32 | +-------------- | ---------------- | ---- |
| 33 | +categorical | | bar, dot |
| 34 | +categorical | categorical | bar, dot, mosaic |
| 35 | +numerical | | box, density, histogram |
| 36 | +numerical | categorical | box, density |
| 37 | +numerical | numerical | line, scatter, smooth scatter |
| 38 | + |
| 39 | + |
| 40 | +Again we'll use the dogs data: |
| 41 | +```{r} |
| 42 | +
|
| 43 | +``` |
| 44 | + |
| 45 | +Example: How many dogs are there in each group (toy, sporting, etc)? |
| 46 | + |
| 47 | +```{r} |
| 48 | +
|
| 49 | +``` |
| 50 | + |
| 51 | +Example: What's the distribution of datadog scores? |
| 52 | + |
| 53 | +```{r} |
| 54 | +
|
| 55 | +``` |
| 56 | + |
| 57 | +Example: How are size and height related? |
| 58 | + |
| 59 | +```{r} |
| 60 | +
|
| 61 | +``` |
| 62 | + |
| 63 | + |
| 64 | +Distribution Plots |
| 65 | +================== |
| 66 | + |
| 67 | +For numeric features, we typically use box, histogram, or density plots. |
| 68 | + |
| 69 | + |
| 70 | +Example: How does height vary for different groups of dogs? |
| 71 | + |
| 72 | +What can we do to display these? |
| 73 | + * side-by-side box plots |
| 74 | + * overlapping density plots |
| 75 | + |
| 76 | + |
| 77 | +Let's start with a box plot: |
| 78 | +```{r} |
| 79 | +
|
| 80 | +``` |
| 81 | + |
| 82 | + |
| 83 | +How can we display the groups in a density plot? |
| 84 | +```{r} |
| 85 | +
|
| 86 | +``` |
| 87 | + |
| 88 | +Too many lines! |
| 89 | + |
| 90 | +You can use a ridge plot instead to show many densities at once: |
| 91 | +```{r} |
| 92 | +# install.packages("ggridges") |
| 93 | +
|
| 94 | +``` |
| 95 | + |
| 96 | + |
| 97 | +Faceted Plots |
| 98 | +============= |
| 99 | + |
| 100 | +Side-by-side plots are called _faceted_ plots. |
| 101 | + |
| 102 | +Can we make the group vs height dogs plot using faceted plots? |
| 103 | + |
| 104 | + |
| 105 | +The `facet_wrap()` function lays out facets in rows (to use screen space |
| 106 | +efficiently). |
| 107 | + |
| 108 | +The syntax is: |
| 109 | +``` |
| 110 | +facet_wrap(vars(FEATURE)) |
| 111 | +``` |
| 112 | + |
| 113 | + |
| 114 | +For example: |
| 115 | +```{r} |
| 116 | +
|
| 117 | +``` |
| 118 | + |
| 119 | + |
| 120 | +The `facet_grid()` function lays out facets in a grid. The syntax is: |
| 121 | +``` |
| 122 | +facet_grid(ROWS ~ COLUMNS) |
| 123 | +``` |
| 124 | +Use `.` as a placeholder if you only want one feature. |
| 125 | + |
| 126 | + |
| 127 | +For example: |
| 128 | +```{r} |
| 129 | +
|
| 130 | +``` |
| 131 | + |
| 132 | + |
| 133 | +When should you use facets versus aesthetics? |
| 134 | + |
| 135 | +Use facets when aesthetics would put too much information on the plot (too many |
| 136 | +lines, too many points, etc). |
| 137 | + |
| 138 | +Use aesthetics when there is less information to show; facets tend to use space |
| 139 | +less efficiently than aesthetics. |
| 140 | + |
| 141 | +Overall, think about the reader. There is no rule that always holds here. |
| 142 | + |
| 143 | + |
| 144 | +EDA Strategy |
| 145 | +============ |
| 146 | + |
| 147 | +See the lecture slides. |
| 148 | + |
| 149 | + |
| 150 | + |
| 151 | +EDA Examples |
| 152 | +============ |
| 153 | + |
| 154 | +```{r} |
| 155 | +
|
| 156 | +``` |
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