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Stats 101 Boot Camp: Stats for Non-Statisticians. Casey L. Allen , MS The Children ’ s Home of Cincinnati Cincinnati, OH October 30, 2013. Casey L Allen. What are we going to talk about?. Define statistics Data types Summarizing data Testing data Interpreting data. And… no formulas!.
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Stats 101 Boot Camp: Stats for Non-Statisticians Casey L. Allen, MSThe Children’s Home of CincinnatiCincinnati, OH October 30, 2013
What are we going to talk about? • Define statistics • Data types • Summarizing data • Testing data • Interpreting data And… no formulas!
Defining Statistics Y = XB + U
Outcome Y = XB + U
Intervention Y = XB + U
Error Y = XB + U
1 Formula to define stats… Y = XB + U Outcome For this to be awesome and measurable Error And reduce this as much as possible Intervention We need this to be to be data driven and the process as systematic as possible
What are statistics? • Statistics is the collection, organization, analysis, interpretation and presentation of data.
Why? • Why should I use statistics? • Why should I understand statistics? Y = XB + U Outcome For this to be awesome and measurable Error And reduce this as much as possible Intervention We need this to be to be data driven and the process as systematic as possible
Everything is data and data is everything • What is data? • Value of something of interest • The value provides information of that something of interest • Data = value = information = data
Everything is data and data is everything • Types of Data • Qualitative (e.g., descriptive, subjective) • Quantitative (e.g., quantifiable, objective)
Qualitative Quantitative They are young. They look smart. They are boys. Some are smiling. There are multiple races. The average age is 8.25 yrs. The average IQ is 100. 100% of the group is male. 75% are smiling. 25% are Caucasian.
Types of Quantitative Data • Nominal(e.g., race, gender, age groups, high/low)
Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal(e.g., 1st, 2nd, 3rd)
Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval(e.g., Temperature, time)
Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval (e.g., Temperature, time) • Ratio(e.g., height, weight)
Boot Camp Exercise! • Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval (e.g., Temperature, time) • Ratio (e.g., height, weight) • A question or statement will appear. Based on what you know about the types of quantitative data, select the best answer from the choices above.
Boot Camp Exercise! • Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval (e.g., Temperature, time) • Ratio (e.g., height, weight) • Who is your favorite Beatle? • John Lennon • Paul McCartney • George Harrison • Ringo Starr
Boot Camp Exercise! • Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval (e.g., Temperature, time) • Ratio (e.g., height, weight) • Who is your favorite Beatle? • John Lennon • Paul McCartney • George Harrison • Ringo Starr
Boot Camp Exercise! • Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval (e.g., Temperature, time) • Ratio (e.g., height, weight) • The Beatles had 12 studio albums.
Boot Camp Exercise! • Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval (e.g., Temperature, time) • Ratio (e.g., height, weight) • The Beatles had 12 studio albums.
Boot Camp Exercise! • Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval (e.g., Temperature, time) • Ratio (e.g., height, weight) • The Beatles’ “Yesterday” peaked at #1 on The Billboards.
Boot Camp Exercise! • Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval (e.g., Temperature, time) • Ratio (e.g., height, weight) • The Beatles’ “Yesterday” peaked at #1 on The Billboards.
Boot Camp Exercise! • Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval (e.g., Temperature, time) • Ratio (e.g., height, weight) • How satisfied are you with The Beatles’ concert? • Completely Satisfied • Satisfied • Dissatisfied • Completely Dissatisfied
Boot Camp Exercise! • Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval (e.g., Temperature, time) • Ratio (e.g., height, weight) • How satisfied are you with The Beatles’ concert? • Completely Satisfied • Satisfied • Dissatisfied • Completely Dissatisfied
Boot Camp Exercise! • Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval (e.g., Temperature, time) • Ratio (e.g., height, weight) • How satisfied are you with The Beatles’ concert? • 4- Completely Satisfied • 3- Satisfied • 2- Dissatisfied • 1- Completely Dissatisfied
Boot Camp Exercise! • Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval (e.g., Temperature, time) • Ratio (e.g., height, weight) • How satisfied are you with The Beatles’ concert? • 4- Completely Satisfied • 3- Satisfied • 2- Dissatisfied • 1- Completely Dissatisfied
Boot Camp Exercise! • Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval (e.g., Temperature, time) • Ratio (e.g., height, weight) • How satisfied are you with The Beatles’ concert? • 4- Completely Satisfied • 3- Satisfied • 2- Dissatisfied • 1- Completely Dissatisfied • 0- I’m not satisfied or dissatisfied
Boot Camp Exercise! • Types of Quantitative Data • Nominal (e.g., race, gender, age groups, high/low) • Ordinal (e.g., 1st, 2nd, 3rd) • Interval (e.g., Temperature, time) • Ratio (e.g., height, weight) • How satisfied are you with The Beatles’ concert? • 4- Completely Satisfied • 3- Satisfied • 2- Dissatisfied • 1- Completely Dissatisfied • 0- I’m not satisfied or dissatisfied
Describing the group of interest Parameter Statistics Sample A selection of participants in Stats 101 • Population • All participants in Stats 101
Describing the group of interest • Descriptive Statistics • Describing the data set of the group of interest • Inferential Statistic • Using mathematically educated guesses about the sample to infer the parameter
Describing the group of interest • Analogy! • Using a high resolution digital camera to take a picture of a solar eclipse.
Now what… • We know what data is… • We know what statistics are… • We’re ready to work with stats!
One Number to Rule them All… • Central tendency • Mean*- add them up, divide by number of data points • Median- the middle number • Mode- the most frequent number * Means are sensitive to outliers. Stay tuned…
One Number to Rule them All… • Central tendency • Mean- 3.4 • Median- 4.0 • Mode- 4.0 4 3 4 5 1
Boot Camp Exercise! • A question or statement will appear. Based on what you know about central tendency, identify which central tendency is used.
Boot Camp Exercise! • 90% of clients feel safe on campus.
Boot Camp Exercise! • 90% of clients feel safe on campus.
Boot Camp Exercise! • The Lower School’s report cards went out this week. Grades range from A to F. The mean grade was a B.
Boot Camp Exercise! • The Lower School’s report cards went out this week. Grades range from A to F. The mean grade was a B.
Boot Camp Exercise! • The Lower School’s report cards went out this week. Grades range from A to F. The mean grade was a B.
Boot Camp Exercise! • On a scale from 1 to 4, (1 = completely dissatisfied; 4 = completely satisfied), the average satisfaction score for Practitioner’s Overall Satisfaction was 3.54.
Boot Camp Exercise! • On a scale from 1 to 4, (1 = completely dissatisfied; 4 = completely satisfied), the average satisfaction score for Practitioner’s Overall Satisfaction was 3.54.
Boot Camp Exercise! • The average number of clients attending school is 54.21.
Boot Camp Exercise! • The average number of clients attending school is 54.21.
Tweeting about 5k data points: Summarizing Data • Variation- how do you define normal • Range • Standard deviations
Tweeting about 5k data points: Summarizing Data • GraphJam! • Summarizing data graphically and appropriately