## What does the Ljung-Box Q test test for?

The sample autocorrelation function (ACF) and partial autocorrelation function (PACF) are useful qualitative tools to assess the presence of autocorrelation at individual lags. The Ljung-Box Q-test is a more quantitative way to test for autocorrelation at multiple lags jointly [1].

### How do you interpret the p value in the Ljung-Box test?

You’ve interpreted the test wrong. If the p value is greater than 0.05 then the residuals are independent which we want for the model to be correct. If you simulate a white noise time series using the code below and use the same test for it then the p value will be greater than 0.05.

#### How do you do a Ljung-Box test in R?

To conduct a Ljung-Box test, we can use the Box-test function from the built in stats package. We pass our time series, a lag, and the type which will be Ljung . We choose a lag of 1, because we want to see if there is autocorrelation with each lag.

**What is Jarque Bera test used for?**

In statistics, the Jarqueâ€“Bera test is a goodness-of-fit test of whether sample data have the skewness and kurtosis matching a normal distribution. The test is named after Carlos Jarque and Anil K. Bera. The test statistic is always nonnegative.

**What is McLeod Li test?**

McLeod-Li test is a test for autoregressive conditional heteroskedasticity in either raw data or residuals from a conditional mean model (but not for residuals from a GARCH model; there Li-Mak test should be used instead).

## How do you interpret Arima results?

Interpret the key results for ARIMA

- Step 1: Determine whether each term in the model is significant.
- Step 2: Determine how well the model fits the data.
- Step 3: Determine whether your model meets the assumption of the analysis.

### What is Jarque-Bera null hypothesis?

The null hypothesis of the Jarque-Bera test is a joint hypothesis of the skewness being zero and the excess kurtosis being zero. With a p-value >0.05, one would usually say that the data are consistent with having skewness and excess kurtosis zero.

#### How do you read Jarque-Bera value?

What the Results Mean. In general, a large J-B value indicates that errors are not normally distributed. For example, in MATLAB, a result of 1 means that the null hypothesis has been rejected at the 5% significance level. In other words, the data does not come from a normal distribution.