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    Two-Way Tables from Slaps per Film in the Three Stooges

    Work

    Probability and Statistics (MATH 1530) Worksheet

    Gardner and Davidson, Spring 2009

    Name: _________Solution__________________

The purpose of this worksheet is to review some of your Minitab knowledge. In the process, you

    will graphically explore two-way tables, marginal distributions, and conditional distributions using

    bar charts. From these topics, we segue into data collection, one of the most important aspects of

    statistical analysis. We give you a partial table of data and you will complete the table by viewing

    three specific Three Stooges films. These films are readily available online. A reliable source of

    uncut versions of these films is AOL-Video (http://video.aol.com/).

You are to count the number of slaps per film. Start by defining which actions you will count as

    slaps. For example, will you count a poke in the eye as a slap? Will you count a fist to the head

    (or a “head conk”) as a slap? Will you only count things which are accompanied by a slapping sound?

    Explain what you will count and insert your answer here.

    This solution sheet is based on counting slaps with a sound effect and ignoring head conks, eye

    pokes, belly slaps (each of which have a different sound effect), etc.

    Here is the partial table of data from The Three Stooges: An Illustrated History by Michael Fleming (NY: Broadway Books, 1999):

    Number of Slaps Curly Shemp Joe Total

    0 to 5 slaps 20 9 5 34

    6 to 10 slaps 29 25 5 59

    11 to 15 slaps 19 16 2 37

    16 to 20 slaps 16 5 2 23

    21 to 25 slaps 3 6 1 10

    26 to 30 slaps 4 7 0 11

    31 to 35 slaps 1 2 0 3

    36 to 40 slaps 2 0 0 2

    More than 41 slaps 2 6 0 8

    96 76 15 187 Total

We have omitted from the table the Stooges films “Men in Black,” “Cuckoo on a Choo Choo,” and

    “Flying Saucer Daffy.” You can find these films online on AOL Video at the following websites:

    ? “Men in Black”:

     http://video.aol.com/video-detail/the-three-stooges-men-in-black/1989431554 ? “Cuckoo on a Choo Choo”:

    http://video.aol.com/video-detail/three-stooges-cukoo-on-a-choo-choodivx/2412237644 ? “Flying Saucer Daffy”:

     http://video.aol.com/video-detail/three-stooges-flying-saucer-daffydivx/1491165110

Watch each of these films. According to the protocol you chose above, what is the slap count you

    have?

    ? “Men in Black”: 13

    ? “Cuckoo on a Choo Choo”: 21

    ? “Flying Saucer Daffy”: 6

Modify the table of data to include your results:

    Number of Slaps Curly Shemp Joe Total

    0 to 5 slaps 20 9 5 34

    6 to 10 slaps 29 25 6 60

    11 to 15 slaps 20 16 2 38

    16 to 20 slaps 16 5 2 23

    21 to 25 slaps 3 7 1 11

    26 to 30 slaps 4 7 0 11

    31 to 35 slaps 1 2 0 3

    36 to 40 slaps 2 0 0 2

    More than 41 slaps 2 6 0 8

    97 77 16 190 Total

Use Minitab to create a marginal distribution for the total number of slaps (that is, a bar chart for the

    variable “Number of Slaps” which has been made categorical). For details an making a bar chart

    with Minitab, see the first Worksheet. Insert the marginal distribution for “Number of Slaps” here and calibrate the y-axis in terms of percent.

Insert the conditional distribution for “Curly” here and calibrate the y-axis in terms of percent.

Insert the conditional distribution for “Shemp” here and calibrate the y-axis in terms of percent.

    Insert the conditional distribution for “Joe” here and calibrate the y-axis in terms of percent.

Compare the three bar graphs. What are your observations about these graphs? (Notice that Minitab

    will automatically calibrate the y-axis and that the scales are different on your three graphs.)

    The Curly and Shemp graphs are similar in shape. The Joe graph seems rather different. (Notice that

    even though each of these graphs deal with categorical data, they could be converted to histograms

    and we could then discuss distributions.)

State a hypothesis concerning the number of slaps between the three categories of “third stooge.”

    It appears that the number of slaps per film is less in the Joe films than in the other categories.

The number of slaps reported by Fleming are:

    ? “Men in Black”: 14

    ? “Cuckoo on a Choo Choo”: 25

    ? “Flying Saucer Daffy”: 20

    Do your results agree with this? No! My results are, across the board, lower than those of Fleming.

Why could there be a discrepancy? Do you think that Fleming was sufficiently careful in his

    collection of data? I would suppose that Fleming is counting things which I am not. For example, he

    might be counting some of the “head conks” which I am ignoring.

Are you confident in your observations? Yes! I am confident in my numbers and I am not so

    confident in Fleming’s numbers! I have double checked and my data is sound!

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