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Descriptive and Inferential Statistics Applications
Transcript of Descriptive and Inferential Statistics Applications
In Statistics we come across two main categories: Descriptive and Inferential Statistics.
Descriptive: Statistics that merely describe the group they belong to.
Inferential: Statistics that are used to draw conclusions about a larger group of people.
We will examine each one in more detail and provide examples.
Inferential Statistics is concerned with making predictions or inferences about a population from observations and analyses of a sample. It is imperative that the sample is representative of the group to which it is being generalized.
Helpful in reaching conclusions that extend beyond the immediate data alone.
They are useful when attempting to infer from the sample data what the population might think.
Microsoft® Excel® Functions
Descriptive Statistic Excel Functions
Inferential Statistics Excel Functions
According to our recent poll, 43% of Americans brush their teeth incorrectly.
Our research indicates that only 33% of people eat breakfast
The class did well on its first exam, with a mean (average) score of 89.5% and a standard deviation of 7.8%.
This season, the Brawley High School Soccer Team scored a mean (average) of 2.3 goals per game.
Descriptive statistics is the term given to the analysis of data that helps describe, show or summarize data in a meaningful way such that, for example, patterns might emerge from the data.
They provide simple summaries about the sample and the measures.
These very useful statistics bring together large amounts of data so they can be presented and comprehended with minimal effort.
Jessica Delgado & Rossy Sanchez
September 2, 2014
Variables & Level of Measurement Classification (nominal, ordinal, interval, or ratio).
Microsoft® Excel® Functions
Variables & Level of Measurement Classification
(nominal, ordinal, interval, or ratio)
As previously taught variable are an element, feature, or factor that is liable to vary or change with levels of measurement.
Nominal: Gender- Male or Female
Ordinal: Education Experience- Elementary School, High School, Some College, College Graduate
Interval: Annual Income- $10,000, $15,000, $20,000
Ratio: pH levels, enzyme activity, temperature
How Much Water Have You Eaten Today?
Standard Error 11.13259806
Standard Deviation 44.53039224
Sample Variance 1982.955833
t-Test: Two-Sample Assuming Equal Variances
Variable 1 Variable 2
Mean 33.04444444 38.26363636
Variance 1472.682778 2522.452545
Observations 9 11
Pooled Variance 2055.888204
Hypothesized Mean Difference 0
t Stat -0.25609796
P(T<=t) one-tail 0.40038956
t Critical one-tail 1.734063592
P(T<=t) two-tail 0.80077912
t Critical two-tail 2.100922037
Hussain, M. (2012). Descriptive statistics--presenting your results I. JPMA. The Journal Of The Pakistan Medical Association, 62(7), 741-743.
Imperial County Farm Bureau. (2014). Retrieved from http://www.icfb.net/
Omair, A. (2012). Presenting your results-II: Inferential statistics. JPMA. The Journal Of The Pakistan Medical Association, 62(11), 1254-1257.
Orris, J.B. (2014). Basic Statistics Using Excel and MegaStat [University of Phoenix Custom Edition eBook]. : McGraw-Hill Company . Retrieved from University of Phoenix, website.