
Explore descriptive and inferential statistics, and how Bernoulli, binomial, and normal distributions model binary and continuous data, linking probability, expected value, and variance to data science.
Explore the binomial distribution by deriving its probability mass function from Bernoulli trials, and state its mean and variance, plus connections to Poisson and normal approximations.
Explore continuous random variables, the normal distribution, and how to compute probabilities with probability density function and cumulative distribution function. Use area under the curve to derive interval probabilities.
Apply the normal distribution and its bell curve to model data, using area under the curve as probability and symmetry about the mean (mu) with sigma as the standard deviation.
Learn how to assess data for normality, standardize to z-scores, and read probabilities from the z-table using one, two, and three sigma ranges.
Master the central limit theorem and the sampling distribution of the mean. Learn how sample means estimate the population mean mu with standard error sigma/sqrt(n) and margin of error.
Explore decision making under uncertainty by applying confidence levels, alpha and beta errors, and normal distribution concepts to estimate population parameters and construct interval estimates.
Explore the CRISP-DM six-stage framework—business understanding, data understanding, data preparation, modeling, evaluation, and deployment—to translate business problems into analytics, prepare data, and deploy data science solutions.
Explore inferential statistics concepts, including null and alternative hypotheses, p-values, alpha levels, and one- and two-tailed tests, guiding data-driven decisions from samples to population means.
Master hypothesis testing using critical value and p-value methods, interpret z-scores and alpha levels, and decide with one- or two-sided tests to inform data-driven conclusions.
Building on the Foundation:
In this course we continue to build your foundation on Data Science. In our Part 2 course you learned Probability, Descriptive Statistics, Data Visualization, Histogram, Boxplot & Scatter plot, Covariance & Correlation. In Part 3 we will help you learn Binomial & Normal Distribution, TOH, CRISP-DM, Anova, Matrices, Coordinate Geometry & Calculus.
You will learn the following concepts with examples in this course:
Normal distribution describes continuous data which have a symmetric distribution, with a characteristic 'bell' shape.
Binomial distribution describes the distribution of binary data from a finite sample. Thus it gives the probability of getting r events out of n trials.
Z-distribution is used to help find probabilities and percentiles for regular normal distributions (X). It serves as the standard by which all other normal distributions are measured.
Central limit theorem (CLT) establishes that, in some situations, when independent random variables are added, their properly normalized sum tends toward a normal distribution (informally a bell curve) even if the original variables themselves are not normally distributed.
Decision making: You can calculate the probability that an event will happen by dividing the number of ways that the event can happen by the number of total possibilities. Probability can help you to make better decisions, such as deciding whether or not to play a game where the outcome may not be immediately obvious.
CRISP-DM is a cross-industry process for data mining. The CRISP-DM methodology provides a structured approach to planning a data mining project. It is a robust and well-proven methodology.
Hypothesis testing is an act in statistics whereby an analyst tests an assumption regarding a population parameter. Hypothesis testing is used to assess the plausibility of a hypothesis by using sample data. Such data may come from a larger population, or from a data-generating process.
Analysis of variance (ANOVA) is a collection of statistical models and their associated estimation procedures (such as the "variation" among and between groups) used to analyze the differences among group means in a sample. ANOVA was developed by statistician and evolutionary biologist Ronald Fisher.
Basics of Matrices, Coordinate Geometry, Calculus & Algebra
Through our Four-part series we will take you step by step, this course is our third part which will solidify your foundation.
Testimonials:
I have gained a strong foundation and understanding to help me be a better Data Scientist ~ Reginald Owusu Ansah
concepts are explained in a very easy way. Thank you, sir!! ~ Kiran Nikumbh
Amazing course. It helped me a lot. ~ Priyanka Agarwal
this course is very helpful ~ Muaadh