Testing

  • There are two possible outcomes: If the result confirms the hypothesis, then you've made a measurement. If the result is contrary to the hypothesis, then you've made a discovery.

    Enrico Fermi (1901 - 1954)

  • For every fact there is an infinity of hypotheses.

    Robert M. Pirsig (1928 - )

  • Hypotheses, like professors, when they are seen not to work any longer in the laboratory, should disappear.

    Henry Edward Armstrong (1848 - 1937)

  • Old statisticians never die - they just become nonsignificant.

    Gary C. Ramseyer (1934 - 2012)

  • The great tragedy of Science - the slaying of a beautiful hypothesis by an ugly fact.

    Thomas H. Huxley (1825 - 1895)

  • It is a good morning exercise for a research scientist to discard a pet hypothesis every day before breakfast. It keeps him young.

    Konrad Lorenz (1903 - 1989)

  • The number of degrees of freedom is usually self-evident - except for the analysis of data that have not appeared in a textbook.

    David Durand (1912 - 1996).

  • Lyric copyright by Bret Larget
    May be sung to the tune of "Roll out the Barrel" (Lew Brown, Wladimir A. Timm, Vasek Zeman and Jaromir Vejvoda)

    What's a p-value?
    Test a hypothesis and see.
    What's a p-value?
    It is the probability,
    That a new test statistic,
    Would be at least as extreme as the old,
    Given Ho is true.
    That is what I'm told!

  • Lyric copyright by Jeff Witmer
    may sing to tune of "Let it Be" (Paul McCartney/Beatles)

    When I find myself with normal data,
    William Gosset comes to me
    Speaking words of wisdom, Use a t.

    If my NP plot is linear
    but sigma isn't known to me
    This is not a problem, Use a t.

    Use a t, use a t, use a t, use a t
    Student knows the answer: Use a t.

    And when the broken hearted students
    in a stats class can't agree
    You can show the answer: Use a t.

    Some want to use a Z test,
    and a chi-square is a mystery
    The truth is very simple: Use a t

    Use a t, use a t, use a t, use a t
    Student knows the answer: Use a t.

    And when your thoughts are cloudy,
    RA Fisher may not hear your plea
    But Gosset will deliver, with a t.

    He knows you are trying
    and he wants to set your mind at ease
    Don't think twice about it, use a t.

    Use a t, use a t, use a t, use a t
    Student knows the answer: Use a t.

  • Lyric copyright by Gary Cziko
    may sing to tune of "Mr. Bojangles" (Jerry Jeff Walker)

    Well, I didn't think I'd ever like statistics,
    and I don't know why.
    But I had to take it sometime soon to graduate,
    so I gave it a try.
    And I've changed my mind, yes I've changed my mind,
    'cause it's clear to me now,
    Hypothesis testing, hypothesis testing, hypothesis testing is fun!

    Oh, you state your null hypothesis and don't forget,
    your alternative one, too.
    It may be directional that means it has one tail,
    but usually two.
    You decide on alpha, oh, don't forget alpha,
    to control errors Type I and II.
    Hypothesis testing, hypothesis testing, hypothesis testing is fun!

    Then compute your z or t or F or chi-square,
    and compare it to the table.
    To decide the fate of your own null hypothesis,
    you reject it if you're able.
    If you're lucky you reject it, don't try to accept it,
    it's not logical to do.
    Hypothesis testing, hypothesis testing, hypothesis testing is fun!

    So statistics really can be quite enjoyable,
    if you study all along.
    And I want to world to know about the joy I've found,
    so I wrote this song.
    And I hope you'll sing it, yes hope you'll sing it,
    in a voice clear and strong.
    Hypothesis testing, hypothesis testing, hypothesis testing is fun!

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