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LUCKY_DIMON [66]
3 years ago
15

A researcher obtains a negative value for chi-square statistic. What can you conclude because the value is negative?

Mathematics
1 answer:
den301095 [7]3 years ago
4 0

Answer:

The researcher has made a mistake chi-square statistic can never be negative

Step-by-step explanation:

Pearson's chi-squared test

\sum_{i=1}^kp_i=1

\sum_{i=1}^km_i=n\sum_{i=1}^kp_i=\sum_{i=1}^kx_i

\chi^2=\sum_{i=1}^k\frac{(x_i-m_i)^2}{m_i}=\sum_{i=1}^k\frac{x_i^2}{m_i}-n

Where

x_i= Observed numbers

n = Number of observations

k = Mutually exclusive classes

p_i= Probability of events

m_i=np_i

So, the value of χ² can never be negative otherwise χ value will be an imaginary number.

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