In this lab, you'll explore a survey from Kaggle regarding budding data scientists. With this, you'll form some initial hypotheses, and test them using the tools you've acquired to date.

You will be able to:

• Conduct t-tests and an ANOVA on a real-world dataset and interpret the results

The data is stored in a file called multipleChoiceResponses_cleaned.csv. Feel free to check out the original dataset referenced at the bottom of this lab, although this cleaned version will undoubtedly be easier to work with. Additionally, meta-data regarding the questions is stored in a file name schema.csv. Load in the data itself as a Pandas DataFrame, and take a moment to briefly get acquainted with it.

Note: If you can't get the file to load properly, try changing the encoding format as in encoding='latin1'

#Your code here

You've been asked to determine whether education is impactful to salary. Develop a hypothesis test to compare the salaries of those with Master's degrees to those with Bachelor's degrees. Are the two statistically different according to your results?

Note: The relevant features are stored in the 'FormalEducation' and 'AdjustedCompensation' features.

You may import the functions stored in the flatiron_stats.py file to help perform your hypothesis tests. It contains the stats functions that you previously coded: welch_t(a,b), welch_df(a, b), and p_value(a, b, two_sided=False).

Note that scipy.stats.ttest_ind(a, b, equal_var=False) performs a two-sided Welch's t-test and that p-values derived from two-sided tests are two times the p-values derived from one-sided tests. See the documentation for more information.

#Your code here

Now perform a similar statistical test comparing the AdjustedCompensation of those with Bachelor's degrees and those with Doctorates. If you haven't already, be sure to explore the distribution of the AdjustedCompensation feature for any anomalies.

#Your code here

Median Values: 
s1:74131.92 
s2:38399.4
Sample sizes: 
s1: 967 
s2: 1107
Welch's t-test p-value: 0.1568238199472023


Repeated Test with Ouliers Removed:
Sample sizes: 
s1: 964 
s2: 1103
Welch's t-test p-value with outliers removed: 0.0

Remember the multiple comparisons problem; rather than continuing on like this, perform an ANOVA test between the various 'FormalEducation' categories and their relation to 'AdjustedCompensation'.

#Your code here

Here's the original source where the data was taken from:
Kaggle Machine Learning & Data Science Survey 2017

In this lab, you practiced conducting actual hypothesis tests on actual data. From this, you saw how dependent results can be on the initial problem formulation, including preprocessing!