How to determine if two sets of data are statistically different?

How to determine if two sets of data are statistically different?

The Students T-test (or t-test for short) is the most commonly used test to determine if two sets of data are significantly different from each other.

How do you make a two time series comparable?

To compare two time series simply estimate the COMMON appropriate arima model for each time series separately AND then estimate it globally (putting the second series behind the first).

Can Anova be used for time series?

if you are looking for significative differences in the mean value of the tree series; you can perform an “ANOVA type” analysis using the time series data as statistical samples but you have to account for series autocorrelation which havily biases the results.

How do you compare two regression lines?

Although the most common use of ancova is for comparing two regression lines, it is possible to compare three or more regressions. If their slopes are all the same, you can test each pair of lines to see which pairs have significantly different Y intercepts, using a modification of the Tukey-Kramer test.

What is the best way to compare two data sets?

Common graphical displays (e.g., dotplots, boxplots, stemplots, bar charts) can be effective tools for comparing data from two or more data sets.

Which is a time series?

A time series is a sequence of data points that occur in successive order over some period of time. In investing, a time series tracks the movement of the chosen data points, such as a security’s price, over a specified period of time with data points recorded at regular intervals.

How to statistically compare two time series?

This common model could be estimated globally and separately for each of the two series and then one could construct an F test to test the hypothesis of a common set of parameters. Consider the grangertest () in the lmtest library. It is a test to see if one time series is useful in forecasting another. Just came across this.

How to find synchrony between two time series?

If the peak correlation is at the center (offset=0), this indicates the two time series are most synchronized at that time. However, the peak correlation may be at a different offset if one signal leads another. The code below implements a cross correlation function using pandas functionality.

How is seasonal data used in time series analysis?

By monitoring various types of changes simultaneously in one seasonal calendar or trend chart, certain patterns may become apparent such as how heavy work periods may occur during periods of indebtedness, illness and lower attendance at group meetings. Data can also be differentiated according to age and gender.

Is there a good correlation between two series?

If the r is small your conclusion would be that they are weakly related and so no desirable comparisons and a larger value if r would suggest good comparisons s between the two series. The third step where there is good correlation is to test the statistical significance of the r.