Two Tails or One; Testing Hypotheses is Done!
This week, Dr. Kruti Lehenbauer decided to use the inspiration from Dr. Seuss' "Cat in the Hat" book and created #PostItStatistics based on the characters from the book - Thing 1 and Thing 2, Cat in the Hat, and the Goldfish to explain the fundamentals of Hypotheses Testing in Statistics.
One of the things that was barely touched upon was that a minimum Sample Size of 30 observations is essential in order to use Z-scores for testing hypotheses.
In future posts, we will discuss t-scores, which can be used if the Sample Sizes are smaller but the concept remains the same. In today's age of access to large-scale and Big Data, the smaller sample sizes are often avoided, whenever possible, but in many cases, they are still useful.
This week's journey started with introducing the concepts of Null and Alternate Hypotheses and how they are stated.
Thereafter, a two-tailed test outline was laid out and we discussed the example of Subway Footlongs being 12 inches long (or not!) using both, the Two-tailed and the One-tailed tests at the same confidence level of 95%. This yielded different results in terms of whether to Reject the Null Hypotheses or not.
Next week should take us towards calculating Margins of Error and Confidence Intervals, which typically use the Two-Tailed Test Model.
All the Images for the Post-Its are given below along with links to the original posts which have more detailed explanations. Click on the titles to see the original posts!
Dr. K has started a hashtag called #postitstatistics on LinkedIn, Instagram, Facebook, X, and YouTube to share her Post-It Statistics in a variety of formats (video with music, anyone?)
Here is the roundup of this week's posts from #PostItStatistics.
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About "The Data Whisperer":
Dr. Kruti Lehenbauer wrote a book on "Introduction to Business Statistics" a couple of years ago after 20+ years of teaching Business & Statistics at various Universities.
You can buy Dr. K's Business Statistics Book on Amazon (Kindle & Print editions available).
Dr. Lehenbauer is not just a data scientist, but a passionate explorer of data realms, unraveling insights that shape strategic trajectories.?With a profound understanding of statistics, an intricate grasp of diverse sectors, and relentless curiosity, she transforms complex data into actionable narratives of growth and innovation, especially in the face of growing AI implementations in business.
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I help organizations in finding solutions to current Culture, Processes, and Technology issues through Digital Transformation by transforming the business to become more Agile and centered on the Customer (data-driven)
8 个月Great compilation from your posts, Dr. Kruti Lehenbauer