Question

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

Answer 1

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.