ADF & Order of Integration Flashcards

1
Q

What ADF test?

A

The Augmented Dickey-Fuller test is used to check whether a time series is stationary or has a unit root (non-stationary)

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2
Q

What are the null and alternative hypotheses in the ADF test?

A

H0: γ = 0 (unit root)

H1: γ < 0 (stationary)

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3
Q

What is the test equation for the ADF test?

A

ΔYt = a + γYt-1 + ∑δi ΔYt-i + ut

​ΔYt = First difference of the series

𝛾 = The key coefficient - testing whether its 0

∑δi ΔYt-i =Lagged differences to fix autocorrelation

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4
Q

What does I(1) mean?

A

The series becomes stationary after 1 difference

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5
Q

What table should you use to interpret the ADF test statistic?

A

Dickey-Fuller critical value table (not standard t-table)

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6
Q

Stationary series I(0)

A

A time series with constant mean, variance, and autocovariance

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7
Q

When should you take first differences?

A

When the series is non-stationary (e.g. has a unit root) and is 𝐼(1)

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8
Q

Why are lagged differences included in the ADF test?

A

To control for autocorrelation and ensure the error term is white noise.

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9
Q
A
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