Original filename: gg.pdf
This PDF 1.5 document has been generated by TeX / MiKTeX pdfTeX-1.40.19, and has been sent on pdf-archive.com on 04/05/2018 at 03:18, from IP address 109.225.x.x.
The current document download page has been viewed 225 times.
File size: 110 KB (2 pages).
Privacy: public file
Download original PDF file
gg.pdf (PDF, 110 KB)
Share on social networks
Link to this file download page
A method for statistically testing the IIR issue
in Path of Exile
The Null Hypothesis
Null hypothesis H0 = "The property 'Increased Item Rarity' (IIR) does not
aect the probability for a currency drop to be of a certain type."
The Test Statistic
The test statistic Qtest is dened by
(xij − ni p∗j )2
where j indexes the currency type, i indexes the data sources (One with
no IIR and one with a xed non-zero amount of IIR), xij is the amount of
currency of type j that dropped from data source i, ni is the total amount of
i, m is the total amount of currency types,
P2 that dropped from
n := i=1 ni and p∗j := i=1 nij .
The homogeneity test
We will reject the null hypothesis H0 if
Qtest > χ2α ((m − 1)(2 − 1)).
The test has the approximate signicance level α. A good rule of thumb for
a good approximation is that all ni p∗j are at least 5. χ2α (f ) is found by solving
the equation P (X > χ2α (f )) = α, where P refers to probability and X is a chisquared-distributed stochastic variable with the degree of freedoms f . To solve
that equation, you could use the table at https://www.medcalc.org/manual/chisquare-table.php where their "DF" refers to our degree of freedoms f and their
"P" refers to our α.
Source of claims
The mathematical claims come from an old book in statistics that unfortunately
is not written in English. I wouldn't be surprised if there are sources in English
describing something analagous or identical.
Link to this page
Use the permanent link to the download page to share your document on Facebook, Twitter, LinkedIn, or directly with a contact by e-Mail, Messenger, Whatsapp, Line..
Use the short link to share your document on Twitter or by text message (SMS)
Copy the following HTML code to share your document on a Website or Blog