Module 8: Math in Science Part III

Part III: Ttest
Learning Objectives • Understand how to interpret distribution graphs obtained through experimentation. • Understand what the ttest helps us accomplish, when comparing two distributions. • Be fully prepared to perform your own ttests in class (be comfortable using a ttable and tvalue calculator, and be comfortable drawing conclusions from those results). • Understand the ultimate importance of sample size. How this Module Will Work Just like in the two previous section, begin by watching the linked video. Be sure to take notes. Take advantage of opportunities for creativity when they arise. After watching the video, please review the vocabulary listed below. After reviewing vocabulary, follow the quiz link below. Be sure you have completed all learning objectives before coming into class, in order to ensure the best experience. Thank you for taking the time. I hope to make it well worth it. Vocabulary Ttest: A statistical hypothesis test used to determine if two sets of data are different from each other (with a specific level of confidence). Degrees of Freedom: Commonly written as DoF or df, degrees of freedom can be expressed in the simple equation: df = n  1. In this equation, represents the sample size. Thus when discussing ttests, degrees of freedom and sample size are often used interchangeably (though they are technically not synonymous). Confidence Interval: The level of confidence one chooses for the conclusion of his/her experiment, representative of the likelihood that an incorrect conclusion has been drawn. Thus, a .05 confidence interval represents a 5% or 5/100 probability that the experimenter has drawn an incorrect conclusion. Tcritical Value: The value obtained by matching up degrees of freedom and confidence on a ttable. Tvalue: The value obtained using our tvalue calculator (it is essentially a scaled probability). If the calculated tvalue is greater than the tcritical value, we reject the null hypothesis. Quiz Link Click here to take quiz. 
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