Statistics Essentials: Stem Plots, Quartiles, Correlation

Stem Plots

To make a stem plot:

  1. Separate each observation into a stem (all but the final digit) and a leaf (the final digit). Stems may have as many digits as needed, but each leaf contains only a single digit.
  2. Write the stems in a vertical column with the smallest at the top, and draw a vertical line to the right of this column. Include all stems needed to span the data, even with no leaves.
  3. Write each leaf in the row to the right of its stem, in increasing order out from the stem.

Quartiles and Interquartile

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Data Attributes and Similarity Measures: Exercises

Data Attributes Classification and Analysis

Exercise 1: Attribute Types

Classify the following attributes as binary, discrete, or continuous. Also, classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). Briefly indicate your reasoning if there may be some ambiguity.

  1. Time in terms of AM or PM.
    Binary, qualitative, ordinal.
  2. Brightness as measured by a light meter.
    Continuous, quantitative, ratio.
  3. Brightness as measured by people’s judgments.
    Discrete, qualitative, ordinal.
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Statistical Measures: Location, Variance, and Probability

Measures of Location

Minimum: Smallest number in the data set.

Maximum: Largest number in the data set.

Median: The middle number, or the average of the two middle numbers if the data set has an even number of values.

Mean: The average of all numbers in the data set.

Mode: The most frequent number. A data set can have multiple modes.

Quartiles

First Quartile (Q1): The median of the lower half of the data.

Third Quartile (Q3): The median of the upper half of the data.

Measures of Variance

Range: Maximum –

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Accounting, Studies, Experiments, Distribution, and Intervals

Fund Accounting

Fund accounting is a method of accounting used by a nonprofit organization that illustrates accountability, rather than profitability. In a business, you want to know how much was spent, how much was earned, and how much was left over. With a nonprofit, you want to know these things, but you also want to make sure that the money you have, receive, and spend is allocated for the proper purpose. Fund accounting is very detailed and can get confusing, but ultimately it is the most accurate

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Key Statistical Concepts and Hypothesis Testing

Multiple Choice Section

  • If p is greater than alpha in a hypothesis test, do not reject the null hypothesis.
  • The form of a relationship determines the effect of the independent variable (IV) on the dependent variable (DV).
  • Degrees of freedom for chi-square: (rows – 1) x (columns – 1)
  • ANOVA compares the means of more than 3 groups. A t-test compares 2 groups.
  • The direction of a relationship between two interval/ratio variables depends on the sign of r and b.
  • The significance of a relationship determines
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Key Concepts in Statistical Sampling and Analysis

Key Concepts in Statistical Sampling and Analysis

Sampling and Population

  1. Which of the following is not an advantage of using a sample versus a census?
    Ready access to respondents.
  2. Which of the following refers to the basic level of investigation?
    A sample unit.
  3. Which of the following describes an entire group under study as specified by the objectives of the research project?
    Population.
  4. Of the following, which is not true of nonprobability samples?
    Can compute the chances of any one population member
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