{
"cells": [
{
"cell_type": "markdown",
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"source": [
"**License**: BSD
\n",
"**Copyright**: Copyright American Gut Project, 2015"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"This notebook is designed to demonstrate a set of data analysis techniques for the American Gut Project (AGP) data. It can serve as a framework for other scientists to process the data, examine steps, make suggestions, and ask their own questions. This notebook operates on pre-computed tables available through the American Gut GitHub Page, rather than processing the data from raw-sequences. \n",
"\n",
"This notebook can be run on a personal computer running a UNIX-based operating system (i.e. OSX, Ubantu) which meets the run requirements. However, running the processing steps on the full notebook - especially steps two and three - take a while (thirty minutes or more) on a personal computer. To reduce run-time, the overwrite
parameter should be set to False
, which will only perform these computationally expensive steps if the resulting files are not present. The flag can be re-set (Overwrite = True
) to re-run the analysis as more data is added to the repository.\n",
"\n",
"To run this notebook, you will need:\n",
"
overwrite
will force the computer to re-compute tables, even if a file of the same name already exists.\n",
"True
and False
.\n",
"rarefaction_depth
determines how many sequences per sample should be randomly selected.num_rarefactions
is the number of times we rarefy the data.alpha_metrics
is a comma-delimited string, listing the desired metrics.div_metric
is the diversity metric to be used during analysis.txt_delim
character separates cells in our text files. \n",
"Qiime currently works with tab-delimited text format for metadata and alpha diversity files. The delimiter, \\t
represents a tab character. A comma separated file (csv) uses a comma (,
) delimiter.\n",
"\n",
"map_index
is the name of the column containing the sample ids. \n",
"This is important for integration between pandas-adjusted metadata and downstream Qiime scripts. The required name in Qiime is #SampleID
.\n",
"\n",
"map_nas
lists possible names for empty data fields. \n",
"American Gut participants may skip any survey question they do not wish to answer. As a result, the mapping file may contain missing data fields. Pandas data structures handle these fields by specifying a special value, and ignores them in calculations.\n",
"\n",
"Next, we rarefy the data to 10,000 sequences per sample. This depth was chosen since it balances a better picture of diversity with retaining samples. Rarefaction begins by removing samples from the table which do not have the minimum number of counts. Sequences are then drawn randomly out of a weighted pool until we reach the appropriate number.
\n", "\n", "Rarefaction is necessary to make intra sample diversity comparisons possible. Below is a panel from Figure 1 of Human Gut Microbiome and Risk of Colorectal Cancer (Ahn et al, 2013). The figure compares Shannon Diversity between individuals with colorectal cancer (n=47, red circles) and healthy controls (n=94, empty triangles) over several rarefaction depths, or sequence counts per sample. The figure also illustrates the importance of even sampling depth. If a control sample with 500 sequences per sample were compared with a cancer sample at a depth of 2500 sequences per sample, the cancer sample would appear more diverse. Comparisons at the same depth reveal the true pattern in the data: cancer samples are less diverse than controls.\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "To control for bias which might occur with a single, random subsampling of the data, we use multiple rounds of rarefaction to more accurately estimate the alpha diversity.
\n", "Note: due to the size of the table, this takes about an hour to run on a laptop with 8gb of memory.
" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Preforms multiple rarefactions at an even depth\n", "if not exists(rare_pattern_fp % (rarefaction_depth, 9)) or overwrite:\n", " !multiple_rarefactions_even_depth.py -i $raw_feces_otu_fp -o $rare_dir -d $rarefaction_depth -n $num_rarefactions --lineages_included" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Return to the top\n", "\n", "\n", "\n", "###4. Calculate alpha diversity for the samples\n", "Alpha diversity is a measure of intra sample diversity, or how much variability we find in each sample. There are a variety of ways to calculate alpha diversity. This notebook will calculate two metrics: Observed Species Diversity and PD Whole Tree Diversity.\n", "\n", "Observed Species Diversity counts the number of bacterial species in a sample. Imagine looking at three households. In household one, there are three humans. In household two, there is a human, a dog, and a rat. In household three, there is a human, a dog, and a bearded dragon. Using observed species diversity, we would say that household one is less diverse than Household two and three, which by Observed species diversity are equally diverse. (H1 < H2 = H3).\n", "\n", "However, when examining diversity, it can be useful to look beyond just the number of bacterial species present, and instead look at some of the bacterial traits. PD Whole Tree Diversity is a diversity metric which takes into account the evolutionary similarity between different bacterial species. For example, going back to the households we talked about earlier, household one with its three humans would again be the least diverse, because we are only looking at one species. Household two and household three both have the same number of species, but household three would be considered more diverse since it contains a reptile (the bearded dragon) while household two only contains mammals, and mammals are more similar to each other than a reptile. (H1 < H2 < H3)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/jerry/anaconda/lib/python2.7/site-packages/pandas/io/parsers.py:1159: DtypeWarning: Columns (11,25,125) have mixed types. Specify dtype option on import or set low_memory=False.\n", " data = self._reader.read(nrows)\n" ] } ], "source": [ "# Sets up a holding object for the alpha diversity\n", "alpha_rounds = {'%s' % m:{} for m in alpha_metrics.split(',')}\n", "\n", "# Calculates the alpha diversity for each round\n", "for i in arange(0, 10):\n", " rare_fp = rare_pattern_fp % (rarefaction_depth, i)\n", " alpha_fp = alpha_pattern_fp % i\n", " # Calculates the alpha diversity\n", " if not exists(alpha_fp):\n", " !alpha_diversity.py -i $rare_fp -o $alpha_fp -m $alpha_metrics -t $tree_fp\n", "\n", " # Reads in the alpha diversity\n", " alpha = pad_index(read_csv(alpha_fp, sep='\\t'), 'Unnamed: 0')\n", "\n", " # Pulls out the data\n", " for col in alpha_rounds:\n", " alpha_rounds['%s' %col]['%i' % i] = alpha[col]\n", " alpha_rounds['%s' %col]['%i' % i].name = '%i' % i\n", " \n", "# Calculates the mean, median and standard deviaton between rounds\n", "metrics = {}\n", "for metric in alpha_rounds:\n", " metrics['%s_mean' % metric] = DataFrame(alpha_rounds[metric]).mean(1)\n", " metrics['%s_stdv' % metric] = DataFrame(alpha_rounds[metric]).std(1)\n", " metrics['%s_med' % metric] = DataFrame(alpha_rounds[metric]).median(1)\n", " \n", "# Adds the alpha diversity to the mapping file\n", "aw_map = pad_index(read_csv(raw_map_fp, \n", " sep=txt_delim, \n", " na_values=map_nas),\n", " index_col=map_index)\n", "alpha_df = DataFrame(metrics)\n", "if '%s_mean' % alpha_rounds.keys()[0] not in aw_map.columns:\n", " aw_map = aw_map.join(alpha_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After reading in the mapping file, we can remove any sample which did not contain the 10,000 sequences/sample we requested using rarefaction. Since the missing alpha diversity is stored as a Not a Number (nan
) value, we will ask the computer to only keep metadata rows where the alpha diversity is not nan
."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"aw_map = aw_map.groupby(isnan(aw_map['%s_mean' % alpha_rounds.keys()[0]])).get_group(False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Return to the top\n",
"\n",
"\n",
"\n",
"###5. Filters out samples with known effects on diversity.\n",
"\n",
"Certain health aspects of participants may have known influences on alpha diversity which overwhelms other potential influences. As a result, we chose to filter out individuals who may belong to a group which confounds the data.
\n", "\n", "Recent antibiotic use has been shown to affect alpha diversity; only participants who reported not using antibiotics in the last year were considered in this analysis.
\n", "\n", "Inflammatory Bowel Disease\n",
"and \n",
"Type II diabetes\n",
"are associated with decreased alpha diversity compared to age-matched controls. \n",
"Studies examining alpha diversity in Type I diabetes have been somewhat inconclusive. \n",
"Giongo et al, 2011\n",
"showed decreased diversity in diabetics (n=4) compared to controls (n=4) over time, while \n",
"Mejía-Leon et al, 2014\n",
"found no significant difference in alpha diversity between controls (n=8), newly diagnosed cases (n=8) and children who had been diabetic for more than two years (n=13) at a single time point. We chose to be conservative and exclude type I diabetics from this dataset. \n",
"\n",
"A relationship between \n",
"obesity\n",
"and lower alpha diversity has also been previously observed. In addition, we found that individuals who were considered underweight also had lower diversity than people in the \"normal\" or \"overweight\" BMI categories. As a result, we selected only to include subjects who had a BMI between 18.5 and 30.\n",
"\n",
"We removed anyone under the age of 20 for three reasons: \n",
"young children\n",
"have low diversity compared to adults. \n",
"BMI qualifications in children under 18\n",
"into categories such as \"underweight\", \"normal\", and \"overweight\" depend on the child's age and gender. Finally, we considered alcohol consumption as a variable which might affect alpha diversity. Since the overwhelming majority of American Gut participants are American, we chose to set the lower limit of the age range near the legal drinking age to remove potential age-related biases.\n",
"\n",
"To filter the data, we define a series of filter functions. A sample must pass all five filter functions to be used in analysis. For large sets of data, it is more convenient to define a single filtered set using the Pandas function, apply
and then splitting the table based on the aggregated results, rather than splitting the table individually using each filter function."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Defines the filtering functions for alpha diversity\n",
"subset_f = {'AGE': lambda x: 19 < x and not isnan(x), \n",
" 'DIABETES': lambda x: x == 'I do not have diabetes',\n",
" 'IBD': lambda x: x == 'I do not have IBD',\n",
" 'ANTIBIOTIC_SELECT': lambda x: x == 'Not in the last year',\n",
" 'BMI': lambda x: 18.5 <= x < 30 and not isnan(x)}\n",
"\n",
"# Determines which samples meet the requirements of the categories\n",
"new_bin = {}\n",
"for cat, f in subset_f.iteritems():\n",
" new_bin[cat] = aw_map[cat].apply(f)\n",
"\n",
"# Builds up the new binary dataframe\n",
"bin_frame = DataFrame(new_bin)\n",
"\n",
"# Adds a column to the current dataframe to look at the subset\n",
"bin_series = DataFrame(new_bin).all(1)\n",
"\n",
"# Filters the original mapping file so only samples which satisfy the criteria are included in the new metadata file.\n",
"sw_map = aw_map.groupby(bin_series).get_group(True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Return to the top\n",
"\n",
"###6. Analysis\n",
"\n",
"\n",
"\n",
"####Age in years\n",
"The microbiome changes throughout an individual's life time. Drastic shifts are seen within the \n",
"first three years of life,\n",
"when the microbiome is generally believed to be settling into an adult configuration. \n",
"Looking at an indiviudal over time\n",
"shows changes in an indiivudal, although the changes within an individual are smaller than the difference between two individuals or two body sites ont he same individual. \n",
"\n",
"Here, we can use the clean subset of adults to look for changes in diversity as a population ages. Participants provided their age in years, or were free to skip the question. However, sometimes it's easier to see patterns if we can create groups in the data. We can convert continous data to categorical data in two steps:\n",
"
With the clean subset of data, we can start investigating the data. \n", "One question of interest to our group was the effect of alcohol consumption on diversity of the gut microbiome.
" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Identifies the metadata category being analyzed\n", "category = 'ALCOHOL_FREQUENCY'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We asked participants about their frequency of alcohol consumption, providing the options \"Never
\", \"Rarely, a few times/month
\", \"Occasionally, 1-2 times/week
\", \"Regularly, 3-5 times/week
\" and \"Daily
\". Partipants were also free to skip this question.\n",
"\n",
"Because of the lenght of many group names, we chose to shorten them."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Applies the function.\n",
"sw_map.loc[sw_map.ALCOHOL_FREQUENCY=='Rarely (few times/month)', 'ALCOHOL_FREQUENCY'] = 'Rarely'\n",
"sw_map.loc[sw_map.ALCOHOL_FREQUENCY=='Occasionally (1-2 times/week)', 'ALCOHOL_FREQUENCY'] = 'Occasionally'\n",
"sw_map.loc[sw_map.ALCOHOL_FREQUENCY=='Regularly (3-5 times/week)', 'ALCOHOL_FREQUENCY'] = 'Regularly'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Because of the inherent ordinal nature of the data, we choose to order groups in ascending order of their consumption frequency. If we do not define this order, the plotting function will sort the data alphabetically, which will make less sense."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"order = ['Never', 'Rarely', 'Occasionally', 'Regularly', 'Daily']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We then generated a boxplot and post-hoc analysis for the alcohol frequency"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
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],
"text/plain": [
"Another area of interest for our group was to look at the effect of season on the human gut microbiome. Previous work has shown seasonal effects on alpha diversity on the microbiome of a variety of environments, including the \n", "English Channel\n", "and \n", "squirrels gut microbiomes\n", ". A recently published paper examined seasonal variation in \n", "Hutterite communities of South Dakota\n", ".
\n", "\n", "Before submitting samples for analysis, participants were asked for the collection date and time. We chose to look at alpha diversity during the year, combining samples collected in 2013 and 2014 into months. The information was stored as a standard calendar date, and so, to get the month, we once again have to parse the data. In this case, we will create a new metadata category for the parsed field.
" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Sets up the category parameters\n", "category = 'COLLECTION_MONTH'\n", "base_cat = 'COLLECTION_DATE'\n", "\n", "# Sets a function to convert the collection date, if necessary\n", "def get_month(date_str):\n", " \"\"\"converts a date to a month string\"\"\"\n", " if len(date_str) > 8:\n", " return strftime('%B', strptime(date_str, '%m/%d/%Y'))\n", " else:\n", " return strftime('%B', strptime(date_str, '%m/%d/%y'))\n", "# Converts the collection date\n", "if category not in sw_map.columns:\n", " sw_map[category]= sw_map[base_cat].apply(get_month)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We set the calender order for the months, since, once again, the order of the data matters, and we generate a boxplot. This boxplot uses rotated axis labels to allow everything to fit." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAY4AAAE8CAYAAADXBlYCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXe8XEXZx7+/JNSEACEEaaGHEhSE0FsggBRRijSVpogI\n", "+FpeRaoEEFR47TQRITQBkd6REqQoRSRCACFACD1EShoBQp73j5nNPffcs+fu7j27e3fv8/18zufe\n", "MzM7z5yzZ+c5M/PM88jMcBzHcZxK6dfsBjiO4zithSsOx3EcpypccTiO4zhV4YrDcRzHqQpXHI7j\n", "OE5VuOJwHMdxqsIVh9OSSBov6aVU2jhJ85rVptiGsZLmSRrezHa0Gn7fWgtXHE5dkbSopO9Kul/S\n", "fyV9JOlNSbdIOkhS/x5Un7UJqe4bkyTtLumkMtnWiDbkIWl07ITnSfpdmTLD4ncxT9K9DWzXSZIW\n", "b4Q8p3644nDqhqTVgX8BvwRmA6cD3wB+ASwAXBTTChVbcH1Z7A6UUxw/ARYxsykNaEd3zAG+LGnB\n", "jLwD4t+5NE7RjSbcN1ccLc6AZjfAaU8kLQLcDKwM7Glm16eKnClpFDCq0W0riMzO1sw+AT5pcFvK\n", "cR2wP/BF4OpU3iHArcCYRjeKxih3p474iMOpF4cCI4BfZCgNAMzsMTM7L5kWp4EelDRT0gxJD0j6\n", 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"W7QlSta40hnCm4JWpapqSQgh3I0TjRVBJC+ggGWBNQ50fQDtldHLL9cD65jZOmb2FPC2E40NgHFm\n", "1i6EMAUxUtPNbP+aNKKZYGZXoliWG81survWf4yM1Lci1fanKGHp1qgfhuUgGlMQIdjJNSBJwOJr\n", "KFB5e8c/CNlRrgZ2WVWIBqxCEkcCWdx7CyigNYLbA59EhtrxwAfuITgY7V/fB3gyhHCA338V0s+P\n", "jGIfDgT+FEJ4rhZtaA6Y2fbIc2oqatNniED8Etk7PkB7mJzoqum8qVmGorx1Y1DmiUTiqHe3/e+g\n", "oMYhIYR/Zm/ZigurHOEooICVBczsRLR47R+V9UPxBeciw/dk5DW1H9rCdEtf/NoCi1YUJsrMdkCZ\n", "Z3+EskJsB2wF7IVc6/ujFCrDgA/ztsuJxxWOb3YI4ePI3nIEUpPtGFbRDBOtzjheQAEFNBt6omA6\n", "3BV0HxSp/CbS+X+Gcih9FUU3LyYaK5oBN4TwsJkle4+PDyFcj3s6IQKyPUox9EGF8M01s9HIpoGZ\n", "3RFK2av7oBxb9UhltcpBQTgKKGDFhXuA68ysO7JXboO2CXgbpdsYgiSO/0SqqRWOaCQQQrjflIX2\n", "Co9JudMJxUN+VBpfEgt2uRfdaGZHodx2O7sL7ioJhaqqgAJWYHAPqgNR4s77QwjPePkIlOJjrxDC\n", "R162Utj3XI10CUotclNLL+CObzKSMnZHnlarjCG8KSgIRwEFrODQFEEws2lIozByZSAWaTCzXYGz\n", "kDfTf6qAbxcU+/K1EMK8lsbX2qEgHAUUsJKA50nqhxLtDQa2cJvGSrlNgJmtHqq4a6aZrZZIb6s6\n", "FDaOAgpYeWATFJTWmRLRWGFtGsuDahINx1cQDYdC4iiggJUETJlb+wEvh2Lr4wJaEArCUUABKyGs\n", "rOqpAloHFISjgAIKKKCAsmCVyVVVQAEFFFBAZaAgHAUUUEABBZQFBeEooIACCiigLCgIRwEFFFBA\n", "AWVBQTgKKKCAAgooCwrCUUABBRRQQFlQEI4CCiiggALKgv8H+vrIcQKZnCoAAAAASUVORK5CYII=\n" ], "text/plain": [ "Never
, Rarely, (few times/month)
, Occasionally (1-2 times/week)
, Regularly, (3-5 times/week)
and Daily
. They were also asked where they exercised: Indoors
, Outdoors
, Both
, Depends on the season
and None of the above
. Partipants were also free to omit this question.\n",
"\n",
"We're going to start by looking at the effect of exercise frequency. We'll start by checking the number of samples in each group, since we need a certain number of samples to be able to make a fair comparison between categories. "
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"EXERCISE_FREQUENCY\n",
"Never 14\n",
"Rarely (few times/month) 72\n",
"Occasionally (1-2 times/week) 172\n",
"Regularly (3-5 times/week) 383\n",
"Daily 214\n",
"Name: PD_whole_tree_mean, dtype: int64"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"order_1 = ['Never', 'Rarely (few times/month)', 'Occasionally (1-2 times/week)',\n",
" 'Regularly (3-5 times/week)', 'Daily']\n",
"sw_map.groupby('EXERCISE_FREQUENCY').count().PD_whole_tree_mean.loc[order_1]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Of 904 samples in the healthy subset for rounds 1-10, only 14 individuals report Never
exercising, so we'll combine them with the people who report rarely exercising. As a result, we combine samples from people who report never exercising and people who report rarely exercising into a single category, Rarely
. We also remove the long descriptors from the map name."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Applies the function.\n",
"sw_map.loc[sw_map.EXERCISE_FREQUENCY=='Never','EXERCISE_FREQUENCY'] = 'Rarely'\n",
"sw_map.loc[sw_map.EXERCISE_FREQUENCY=='Rarely (few times/month)','EXERCISE_FREQUENCY'] = 'Rarely'\n",
"sw_map.loc[sw_map.EXERCISE_FREQUENCY=='Occasionally (1-2 times/week)','EXERCISE_FREQUENCY'] = 'Occasionally'\n",
"sw_map.loc[sw_map.EXERCISE_FREQUENCY=='Regularly (3-5 times/week)','EXERCISE_FREQUENCY'] = 'Regularly'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's use a boxplot to visualize the exercise frequency. Again, we'll set an order for the data."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
"None of the above
category. "
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"EXERCISE_LOCATION\n",
"Both 267\n",
"Depends on the season 100\n",
"Indoors 167\n",
"None of the above 10\n",
"Outdoors 276\n",
"Name: PD_whole_tree_mean, dtype: int64"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sw_map.groupby('EXERCISE_LOCATION').count().PD_whole_tree_mean"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For the sake of simplicity, let's treat this as an unknown answer, since the category is so small compared to the rest of the data that our krushkall wallis will be more prone to error. Let's also shorten \"Depends on the season\" to \"Depends\" to make the x-axis labels cleaner."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"sw_map.loc[sw_map.EXERCISE_LOCATION=='Depends on the season','EXERCISE_LOCATION'] = 'Depends'\n",
"sw_map.loc[sw_map.EXERCISE_LOCATION=='None of the above','EXERCISE_LOCATION'] = nan"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can now create a boxplot of the exericse location. "
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
"Less than 5 hours
, 5-6 hours
, 6-7 hours
, 7-8 hours
or 8 or more hours
or to leave the question blank. It seems unlikely that many people would sleep less than 5 hours, so we start by checking the number of indiviudals who gave each response."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"sleep_order = ['Less than 6 hours', '6-7 hours', '7-8 hours', '8 or more hours']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, we can generate a boxplot showing the changes in alpha diversity associated with sleep."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": [
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"text/plain": [
"