# Interpreting the output of structural break detection function

I'm using sctest function in strucchange package to check if there are breaks in my series.

I would like to understand how to interpret its result, in an example i get:

> g <- sctest(cars$dist~cars$speed+0)
> g

Recursive CUSUM test

data:  cars$dist ~ cars$speed + 0
S = 0.9147, p-value = 0.06379


What does it mean, are there breaks?

Thanks

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The null hypothesis is that there are no structural breaks. Since your p-value is $0.063$ you can say that data does not disprove null hypothesis at $0.05$ significance level, i.e. there are no structural breaks. I would however hesitate to declare that there are truly no structural breaks without any further investigation.