Guided Project: Analyzing NYC High School Data

Posted on Wed 08 July 2015 in Projects

Read in the data

In [23]:
import pandas as pd
import numpy
import re

data_files = [
    "ap_2010.csv",
    "class_size.csv",
    "demographics.csv",
    "graduation.csv",
    "hs_directory.csv",
    "sat_results.csv"
]

data = {}

for f in data_files:
    d = pd.read_csv("schools/{0}".format(f))
    data[f.replace(".csv", "")] = d

Read in the surveys

In [24]:
all_survey = pd.read_csv("schools/survey_all.txt", delimiter="\t", encoding='windows-1252')
d75_survey = pd.read_csv("schools/survey_d75.txt", delimiter="\t", encoding='windows-1252')
survey = pd.concat([all_survey, d75_survey], axis=0)

survey["DBN"] = survey["dbn"]

survey_fields = [
    "DBN", 
    "rr_s", 
    "rr_t", 
    "rr_p", 
    "N_s", 
    "N_t", 
    "N_p", 
    "saf_p_11", 
    "com_p_11", 
    "eng_p_11", 
    "aca_p_11", 
    "saf_t_11", 
    "com_t_11", 
    "eng_t_11", 
    "aca_t_11", 
    "saf_s_11", 
    "com_s_11", 
    "eng_s_11", 
    "aca_s_11", 
    "saf_tot_11", 
    "com_tot_11", 
    "eng_tot_11", 
    "aca_tot_11",
]
survey = survey[survey_fields]
data["survey"] = survey

Add DBN columns

In [25]:
data["hs_directory"]["DBN"] = data["hs_directory"]["dbn"]

def pad_csd(num):
    string_representation = str(num)
    if len(string_representation) > 1:
        return string_representation
    else:
        return "0" + string_representation
    
data["class_size"]["padded_csd"] = data["class_size"]["CSD"].apply(pad_csd)
data["class_size"]["DBN"] = data["class_size"]["padded_csd"] + data["class_size"]["SCHOOL CODE"]

Convert columns to numeric

In [26]:
cols = ['SAT Math Avg. Score', 'SAT Critical Reading Avg. Score', 'SAT Writing Avg. Score']
for c in cols:
    data["sat_results"][c] = pd.to_numeric(data["sat_results"][c], errors="coerce")

data['sat_results']['sat_score'] = data['sat_results'][cols[0]] + data['sat_results'][cols[1]] + data['sat_results'][cols[2]]

def find_lat(loc):
    coords = re.findall("\(.+, .+\)", loc)
    lat = coords[0].split(",")[0].replace("(", "")
    return lat

def find_lon(loc):
    coords = re.findall("\(.+, .+\)", loc)
    lon = coords[0].split(",")[1].replace(")", "").strip()
    return lon

data["hs_directory"]["lat"] = data["hs_directory"]["Location 1"].apply(find_lat)
data["hs_directory"]["lon"] = data["hs_directory"]["Location 1"].apply(find_lon)

data["hs_directory"]["lat"] = pd.to_numeric(data["hs_directory"]["lat"], errors="coerce")
data["hs_directory"]["lon"] = pd.to_numeric(data["hs_directory"]["lon"], errors="coerce")

Condense datasets

In [27]:
class_size = data["class_size"]
class_size = class_size[class_size["GRADE "] == "09-12"]
class_size = class_size[class_size["PROGRAM TYPE"] == "GEN ED"]

class_size = class_size.groupby("DBN").agg(numpy.mean)
class_size.reset_index(inplace=True)
data["class_size"] = class_size

data["demographics"] = data["demographics"][data["demographics"]["schoolyear"] == 20112012]

data["graduation"] = data["graduation"][data["graduation"]["Cohort"] == "2006"]
data["graduation"] = data["graduation"][data["graduation"]["Demographic"] == "Total Cohort"]

Convert AP scores to numeric

In [28]:
cols = ['AP Test Takers ', 'Total Exams Taken', 'Number of Exams with scores 3 4 or 5']

for col in cols:
    data["ap_2010"][col] = pd.to_numeric(data["ap_2010"][col], errors="coerce")

Combine the datasets

In [29]:
combined = data["sat_results"]

combined = combined.merge(data["ap_2010"], on="DBN", how="left")
combined = combined.merge(data["graduation"], on="DBN", how="left")

to_merge = ["class_size", "demographics", "survey", "hs_directory"]

for m in to_merge:
    combined = combined.merge(data[m], on="DBN", how="inner")

combined = combined.fillna(combined.mean())
combined = combined.fillna(0)

Add a school district column for mapping

In [30]:
def get_first_two_chars(dbn):
    return dbn[0:2]

combined["school_dist"] = combined["DBN"].apply(get_first_two_chars)

Find correlations

In [31]:
correlations = combined.corr()
correlations = correlations["sat_score"]
print(correlations)
SAT Critical Reading Avg. Score         0.986820
SAT Math Avg. Score                     0.972643
SAT Writing Avg. Score                  0.987771
sat_score                               1.000000
AP Test Takers                          0.523140
Total Exams Taken                       0.514333
Number of Exams with scores 3 4 or 5    0.463245
Total Cohort                            0.325144
CSD                                     0.042948
NUMBER OF STUDENTS / SEATS FILLED       0.394626
NUMBER OF SECTIONS                      0.362673
AVERAGE CLASS SIZE                      0.381014
SIZE OF SMALLEST CLASS                  0.249949
SIZE OF LARGEST CLASS                   0.314434
SCHOOLWIDE PUPIL-TEACHER RATIO               NaN
schoolyear                                   NaN
fl_percent                                   NaN
frl_percent                            -0.722225
total_enrollment                        0.367857
ell_num                                -0.153778
ell_percent                            -0.398750
sped_num                                0.034933
sped_percent                           -0.448170
asian_num                               0.475445
asian_per                               0.570730
black_num                               0.027979
black_per                              -0.284139
hispanic_num                            0.025744
hispanic_per                           -0.396985
white_num                               0.449559
                                          ...   
rr_p                                    0.047925
N_s                                     0.423463
N_t                                     0.291463
N_p                                     0.421530
saf_p_11                                0.122913
com_p_11                               -0.115073
eng_p_11                                0.020254
aca_p_11                                0.035155
saf_t_11                                0.313810
com_t_11                                0.082419
eng_t_11                                0.036906
aca_t_11                                0.132348
saf_s_11                                0.337639
com_s_11                                0.187370
eng_s_11                                0.213822
aca_s_11                                0.339435
saf_tot_11                              0.318753
com_tot_11                              0.077310
eng_tot_11                              0.100102
aca_tot_11                              0.190966
grade_span_max                               NaN
expgrade_span_max                            NaN
zip                                    -0.063977
total_students                          0.407827
number_programs                         0.117012
priority08                                   NaN
priority09                                   NaN
priority10                                   NaN
lat                                    -0.121029
lon                                    -0.132222
Name: sat_score, Length: 67, dtype: float64

Plotting survey correlations

In [32]:
# Remove DBN since it's a unique identifier, not a useful numerical value for correlation.
survey_fields.remove("DBN")
In [33]:
%matplotlib inline
combined.corr()["sat_score"][survey_fields].plot.bar()
Out[33]:
<matplotlib.axes._subplots.AxesSubplot at 0x10f1194a8>

There are high correlations between N_s, N_t, N_p and sat_score. Since these columns are correlated with total_enrollment, it makes sense that they would be high.

It is more interesting that rr_s, the student response rate, or the percentage of students that completed the survey, correlates with sat_score. This might make sense because students who are more likely to fill out surveys may be more likely to also be doing well academically.

How students and teachers percieved safety (saf_t_11 and saf_s_11) correlate with sat_score. This make sense, as it's hard to teach or learn in an unsafe environment.

The last interesting correlation is the aca_s_11, which indicates how the student perceives academic standards, correlates with sat_score, but this is not true for aca_t_11, how teachers perceive academic standards, or aca_p_11, how parents perceive academic standards.

Exploring safety

In [34]:
combined.plot.scatter("saf_s_11", "sat_score")
Out[34]:
<matplotlib.axes._subplots.AxesSubplot at 0x10f36de80>

There appears to be a correlation between SAT scores and safety, although it isn't thatstrong. It looks like there are a few schools with extremely high SAT scores and high safety scores. There are a few schools with low safety scores and low SAT scores. No school with a safety score lower than 6.5 has an average SAT score higher than 1500 or so.

Plotting safety

In [35]:
import matplotlib.pyplot as plt
from mpl_toolkits.basemap import Basemap

districts = combined.groupby("school_dist").agg(numpy.mean)
districts.reset_index(inplace=True)

m = Basemap(
    projection='merc', 
    llcrnrlat=40.496044, 
    urcrnrlat=40.915256, 
    llcrnrlon=-74.255735, 
    urcrnrlon=-73.700272,
    resolution='i'
)

m.drawmapboundary(fill_color='#85A6D9')
m.drawcoastlines(color='#6D5F47', linewidth=.4)
m.drawrivers(color='#6D5F47', linewidth=.4)
# Temporary bug: if you run the following line of code in the Jupyter Guided Project interface on Dataquest, you'll get an error. 
# We're working on a fix, thanks for your patience! This should work fine locally on your own computer though.
# m.fillcontinents(color='white',lake_color='#85A6D9')

longitudes = districts["lon"].tolist()
latitudes = districts["lat"].tolist()
m.scatter(longitudes, latitudes, s=50, zorder=2, latlon=True, c=districts["saf_s_11"], cmap="summer")
plt.show()

It looks like Upper Manhattan and parts of Queens and the Bronx tend to have higher safety scores, whereas Brooklyn has low safety scores.

Racial differences in SAT scores

In [36]:
race_fields = ["white_per", "asian_per", "black_per", "hispanic_per"]
combined.corr()["sat_score"][race_fields].plot.bar()
Out[36]:
<matplotlib.axes._subplots.AxesSubplot at 0x11d32f4e0>

It looks like a higher percentage of white or asian students at a school correlates positively with sat score, whereas a higher percentage of black or hispanic students correlates negatively with sat score. This may be due to a lack of funding for schools in certain areas, which are more likely to have a higher percentage of black or hispanic students.

In [37]:
combined.plot.scatter("hispanic_per", "sat_score")
Out[37]:
<matplotlib.axes._subplots.AxesSubplot at 0x11aede240>
In [38]:
print(combined[combined["hispanic_per"] > 95]["SCHOOL NAME"])
44                         MANHATTAN BRIDGES HIGH SCHOOL
82      WASHINGTON HEIGHTS EXPEDITIONARY LEARNING SCHOOL
89     GREGORIO LUPERON HIGH SCHOOL FOR SCIENCE AND M...
125                  ACADEMY FOR LANGUAGE AND TECHNOLOGY
141                INTERNATIONAL SCHOOL FOR LIBERAL ARTS
176     PAN AMERICAN INTERNATIONAL HIGH SCHOOL AT MONROE
253                            MULTICULTURAL HIGH SCHOOL
286               PAN AMERICAN INTERNATIONAL HIGH SCHOOL
Name: SCHOOL NAME, dtype: object

The schools listed above appear to primarily be geared towards recent immigrants to the US. These schools have a lot of students who are learning English, which would explain the lower SAT scores.

In [39]:
print(combined[(combined["hispanic_per"] < 10) & (combined["sat_score"] > 1800)]["SCHOOL NAME"])
37                                STUYVESANT HIGH SCHOOL
151                         BRONX HIGH SCHOOL OF SCIENCE
187                       BROOKLYN TECHNICAL HIGH SCHOOL
327    QUEENS HIGH SCHOOL FOR THE SCIENCES AT YORK CO...
356                  STATEN ISLAND TECHNICAL HIGH SCHOOL
Name: SCHOOL NAME, dtype: object

Many of the schools above appear to be specialized science and technology schools that receive extra funding, and only admit students who pass an entrance exam. This doesn't explain the low hispanic_per, but it does explain why their students tend to do better on the SAT -- they are students from all over New York City who did well on a standardized test.

Gender differences in SAT scores

In [40]:
gender_fields = ["male_per", "female_per"]
combined.corr()["sat_score"][gender_fields].plot.bar()
Out[40]:
<matplotlib.axes._subplots.AxesSubplot at 0x10f79f550>

In the plot above, we can see that a high percentage of females at a school positively correlates with SAT score, whereas a high percentage of males at a school negatively correlates with SAT score. Neither correlation is extremely strong.

In [41]:
combined.plot.scatter("female_per", "sat_score")
Out[41]:
<matplotlib.axes._subplots.AxesSubplot at 0x10f378630>

Based on the scatterplot, there doesn't seem to be any real correlation between sat_score and female_per. However, there is a cluster of schools with a high percentage of females (60 to 80), and high SAT scores.

In [42]:
print(combined[(combined["female_per"] > 60) & (combined["sat_score"] > 1700)]["SCHOOL NAME"])
5                         BARD HIGH SCHOOL EARLY COLLEGE
26                         ELEANOR ROOSEVELT HIGH SCHOOL
60                                    BEACON HIGH SCHOOL
61     FIORELLO H. LAGUARDIA HIGH SCHOOL OF MUSIC & A...
302                          TOWNSEND HARRIS HIGH SCHOOL
Name: SCHOOL NAME, dtype: object

These schools appears to be very selective liberal arts schools that have high academic standards.

AP Exam Scores vs SAT Scores

In [43]:
combined["ap_per"] = combined["AP Test Takers "] / combined["total_enrollment"]

combined.plot.scatter(x='ap_per', y='sat_score')
Out[43]:
<matplotlib.axes._subplots.AxesSubplot at 0x10f7c3be0>

It looks like there is a relationship between the percentage of students in a school who take the AP exam, and their average SAT scores. It's not an extremely strong correlation, though.