Since the founding of the state of Israel, there have been twelve people who have occupied the
position of Prime Minister of Israel. For our key word lists we used their names against
a key word set for Prime Minister. The list of our key words can be found
here.
This experiment illustrates how all the choices are bundled up in the experiment, handled
by the way in which the Alternative hypothesis is expressed and in the corresponding test
statistic, rather than as multiple disconnected experiments in which the Bonferroni penalty,
the upper p-level bound, has to be paid at the end in a much more costly way.
The experiment was conducted in accordance with one of our standard experimental protocols to test
the Null hypothesis against the Alternative hypothesis that in the Chumash nearly all the Prime Ministers have
one of their appellations with ELSs in a more compact meeting with one of the ELSs of a key word
for Prime Minister than expected by chance.

**Experimental Protocol**

Text | The Five Books of Moses; the Chumash |

Skip Specification | Expected Number of ELS = 10 |

Resonance Specification | Maximum ELS row skip on a cylinder = 10
Maximum ELS column skip on a cylinder = 10 |

Monkey Text Control Population | ELS random placement |

Compactness Measure | Maximum distance between the letters of an ELS pair | |

Number of Trials | 10,000 |

Significance Level of test | 1% |

The p-level of the experiment was 6/10,000 so we reject the Null hypothesis.

Of course we want to see the tables associated with each prime minister. But we must remember
that the protocol of the experiment did not look for a best table and the test statistic
was based on what it found in all tables. So looking at one best area table is not necessarily
representative.

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