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   "source": [
    "# 1. Introduction to data analysis with Python"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What is data analysis"
   ]
  },
  {
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   "source": [
    "Data analysis is a endeavor with fuzzy boundaries. Some people constrain data analysis to exploratory data analysis and data visualization. Others include hypothesis testing and statistical inference. And some even incorporate machine learning techniques like dimensionality reduction and clustering. \n",
    "\n",
    "Here is what, according to John W. Tukey in \"[The Future of Data Analysis](https://projecteuclid.org/download/pdf_1/euclid.aoms/1177704711)\", one of the leading figures in data analysis and statistics in the XX century, can be included as part of the data analysis process: \n",
    "\n",
    "> \"Procedures for analyzing data, techniques for interpreting the results of such procedures, ways of planning the gathering of data to make its analysis easier, more precise or more accurate, and all the machinery and results of (mathematical) statistics which apply to analyzing data.\"\n",
    "\n",
    "I personally agree with Tukey. In my 10 years of experience analysis data, I have done such wide variety of things to obtain an answer to a question that I cannot constrain the data analysis process to a fixed subset of techniques. Because, in my view, the heart of data analysis is precisely that: **to utilize a plethora of computational, mathematical, and visualization techniques, to answer meaningful questions based on data**. \n",
    "\n",
    "Data analysis is often associated with a subset of roles in the Data Science space: data visualization specialists, business analysts, quantitative analysts, and a few others. Yet, the true i that **there is no endeavor in Data Science that does not rely in data analysis to some extent**. Machine learning researchers, machine learning engineers, data architects, big data engineers, social science researchers, biological science researchers, and pretty much any professional working with data, will need to ingest, clean, transform, explore, visualize, and interrogate data at one point or another.\n",
    "\n",
    "Following Tukey line of reasoning, data analysis must be regarded as a foundational skill for any professional and/or researcher that relies on data to accomplish its goals.\n"
   ]
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   "source": [
    "## Data analysis with Python"
   ]
  },
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   "cell_type": "markdown",
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   "source": [
    "Due to the association of data analysis with roles as business analyst and quantitative analysts, Python is sometimes regarded as a secondary tool, with programming languages as R, Scala, SAS, or SPSS, as primary tools instead. From that perspective, it is fair to ask why to spend time learning Python for data analysis instead of R and SPSS. I have several answers for that coming from different angles:\n",
    "\n",
    "1. You probably need to learn more than one programming language as every language has their own strengths and weaknesses. Adding Python to your toolbox will just make you a better analysis. \n",
    "2. I hear you: \"There is just so much time in a day. I cannot learn them all!\". Let's say you have time for learning a single programming language. Why Python?: (1) It's free, (2) It's easy to learn and use, (3) It has a large and constantly growing ecosystem of libraries to accomplish any data analysis task you may face, (4) It's in high demand. \n",
    "3. In addition to offering all the necessary tools for what is traditionally considered data analysis, Python is a the leader in the field of machine learning and artificial intelligence, which can expand your toolbox and skills even further.\n",
    "\n",
    "The above does not mean you will never need to utilize other programming languages for some task, you probably will, yet Python offers a solid base from which to approach all your data analysis challenges."
   ]
  },
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   "metadata": {},
   "source": [
    "## The Python data analysis toolbox"
   ]
  },
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   "source": [
    "The Python data science and scientific computing ecosystem is vast. The [NUMFOCUS Foundation](https://numfocus.org/) aggregates and support [several projects](https://numfocus.org/sponsored-projects) in the field, so it's a good place to start and pay attention to.\n",
    "\n",
    "I do not pretend to cover all the libraries out there, just because they are too many. Instead,  I'll briefly mention a selection of the most popular and the ones you probably will utilize the most."
   ]
  },
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   "metadata": {},
   "source": [
    "### NumPy"
   ]
  },
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   "source": [
    "It is no exaggeration to say that [NumPy](https://numpy.org/) is at the core of the entire scientific computing Python ecosystem, both as a standalone package for numerical computation and as the engine behind most data science packages.\n",
    "\n",
    "`NumPy` is a package for array-like or matrix-like high-performance computation. Its “engine” is written in C, meaning that `NumPy` utilized “in the background” pre-compiled C code to perform computations.\n",
    "\n",
    "Although it is not our  main tool, we will use `NumPy` at different parts of the data analysis process. \n",
    "\n",
    "An alternative to `NumPy` is [Xarray](http://xarray.pydata.org/en/stable/), which introduces labels to multidimensional arrays. "
   ]
  },
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   "source": [
    "### `pandas`"
   ]
  },
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   "metadata": {},
   "source": [
    "\n",
    "Given its versatility and easy to use interface, [pandas](https://`pandas`.pydata.org/) has become one of the main tools in the data analysis toolkit. In the Python ecosystem, it is regarded as the **main data wrangling library by far**. In short, `pandas` provides objects and methods to: **ingest, clean, transform, explore, and output datasets from all sizes**. It can easily take care of datasets in order of millions of datapoints or several gigabytes, replacing -to some extent- the need for \"big data\" solutions like [Hadoop](https://hadoop.apache.org/) or [Spark](https://spark.apache.org/). \n",
    "\n",
    "\n",
    "The `pandas` library reach its full potential when used in tandem with libraries like NumPy, Scipy, Matplotlib, and others. In this sense, `pandas` is \"at the core\" of the data analysis process, reason why we will devote more time to `pandas` than to any other library in this course."
   ]
  },
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   "metadata": {},
   "source": [
    "### SciPy"
   ]
  },
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   "source": [
    "[SciPy](https://www.scipy.org/) is both a library and ecosystem. Here we refer to the [SciPy library](https://www.scipy.org/scipylib/index.html). The goal of `Scipy` is to provide several easy to use objects and methods for numerical computation, optimization, linear algebra, and statistics. "
   ]
  },
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   "metadata": {},
   "source": [
    "### Statsmodels"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For a long time, people working in statistical analysis could not find a Python-based user-friendly solution for statistics, so they mainly utilized R, SPSS, SAS, and other programming languages. \n",
    "\n",
    "The [Statsmodels](https://www.statsmodels.org/stable/index.html) package takes care of such a need by providing a series of classes and methods for statistical modeling, ranging from basic hypothesis testing to complex linear mixed effects models. Its interface is based on R, making it easy to adopt for R users. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PyMC3"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In recent years Bayesian statistics have been adopted as an alternative to traditional frequentist statistics. `PyMC3` is a Python based library for Bayesian statistical modeling and probabilistic machine learning. I do not plan to cover Bayesian statistics in this course, yet it is useful know such a library exist."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scikit-Learn"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Sckit-learn](https://scikit-learn.org/stable/) it is a library for machine learning and predictive analytics, and one of the most popular libraries in the data science ecosystem. Even though this is not a machine learning course, we will make use of `sckit-learn` from time to time as it offers several convenient functions for common data analysis tasks like clustering and dimensionality reduction."
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Matplotlib"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Python has a strong data visualization ecosystem, and [Matplotlib](https://matplotlib.org/) is at the center of it. It is the most mature, stable, flexible, and versatile data visualization library in Python. Although it is designed with 2-dimensional graphics in mind, it can also handle 3-dimensional and interactive graphics. It follows a -mostly- imperative interface, meaning the user has to explicitly declare most details of the chart which makes it a bit verbose at times. \n",
    "\n",
    "`Matplotlib`, and the rest of the Python data science stack, became famous when [the first images of a black hole](https://www.blog.pythonlibrary.org/2019/04/11/python-used-to-take-photo-of-black-hole/) were produced with this library."
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Seaborn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Seaborn](https://seaborn.pydata.org/) was developed as a high-level interface for `Matplotlib` with the aim to simplify chart creation for common tasks. Charts that take a couple of dozens of lines in `Matplotlib` may be produced with one or two lines in `Seaborn`. The trade off offered by `Seaborn` is less control regarding the display and aesthetics, for a simpler to use interface for fast development."
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Altair"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Altair](https://altair-viz.github.io/) is another data visualization library for Python, probably the younger from the lot. What distinguishes `Altair` from other libraries is its \"declarative approach\" to statistical graphics, based on the so-called [grammar of graphics](https://rb.gy/yb78qp). With `Matplotlib` you focus in the \"how\" to put things in place, whereas with` Altair` you focus in the \"what\". \n",
    "\n",
    "`Altair` is primarily aimed to work with tabular data, particularly with the `pandas` DataFrame object. The logic behind `Altair` is to utilize a elegant and consistent syntax that combines a series of graphical primitives with a series of graphical combinatorial rules. `Altair` trade off is similar to `Seaborn`: less control for simplicity and fast development.\n",
    "\n",
    "I personally like utilizing `Altair` as I believe the mental model that provides is exceptionally good, so I will `Altair` cover in this course rather than `Seaborn`. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bokeh"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Python also provide libraries for web-based interactive data visualization. All those cool interactive charts you find online in the places websites the New York Times can be created with Libraries like [Bokeh](https://docs.bokeh.org/en/latest/index.html). `Bokeh` provides an elegant and concise interface for interactive graphics, and can easily handle large or streaming datasets online. \n",
    "\n",
    "An alternative to `Bokeh` is [Plotly](https://plotly.com/), which has the advantage of working with multiple programming languages. "
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prerequisites"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Some people start their data analysis learning path with little more than high-school level mathematics and end up being highly successful. For the purposes of this courses, in addition to high-school level mathematics, I assume yo know the following: (1) Basic Python, (2) Basic linear algebra ideas.\n",
    "\n",
    "In general, I would say you need more than basic python and basic linear algebra to become a data analyst, but since I don't plan to cover statistical inference of any kind, that should be enough. If you plan to do applied statistics, you ideally want to learn linear algebra, calculus, probability theory, and experimental and quasi-experimental research methods. And that may take a year or two. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Basic Python programming"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Regarding Python, I will assume you are familiar with:\n",
    "\n",
    "- Variables\n",
    "- Imports and prints\n",
    "- Basic Python syntax\n",
    "- Data types: string, int, float, bool, and complex\n",
    "- Containers: lists, dictionaries, sets, and tuples\n",
    "- Functions and Lambda functions \n",
    "- Control flow: for loops and while loops; if, elif and else statements\n",
    "- Operators:\n",
    "    - arithmetic operators (+, -, etc)\n",
    "    - assignment operators (=, += -=, etc)\n",
    "    - comparison operators (>, ==, <, etc)\n",
    "    - logical operators (and, or, not)\n",
    "    - membership operators(in, not it) \n",
    "\n",
    "That should be enough. If you are not familiar with Python basics, there are many courses out there that will teach you all you need to know if a couple of hours or days. For instance, [here](https://www.youtube.com/playlist?list=PL-osiE80TeTskrapNbzXhwoFUiLCjGgY7), [here](https://automatetheboringstuff.com/), [here](https://developers.google.com/edu/python/), and [here](https://www.youtube.com/watch?v=rfscVS0vtbw). "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Basic linear algebra ideas"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Regarding basic linear algebra, it is good to be familiar with the following ideas:\n",
    "- Vectors\n",
    "- Matrices\n",
    "- Coordinate space\n",
    "- Linear combinations\n",
    "\n",
    "Now, more than learning basic linear algebra, it is important to get used to the idea of thinking in terms of manipulating, transforming, and combining vectors that live in some abstract coordinate space. I did write a linear algebra course which goes very deep in the subject that you can find [here](https://pabloinsente.github.io/intro-linear-algebra). I recommend simply searching for the concepts I mentioned before and read about it. Wikipedia it's also a perfectly fine source when you are in doubt about any concept."
   ]
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