An electroencephalogram (eeg) is a noninvasive test used to detect and record the electrical activity generated in the brain.EEG (electroencephalogram) time series given in the data file named "eeg"...

An electroencephalogram (eeg) is a noninvasive test used to detect and record the electrical activity generated in the brain.EEG (electroencephalogram) time series given in the data file named "eeg" in the library "TSA"were measured at a sampling rate of 256 per second and came from a patient suffering a seizure. The total record length is n = 13,000—or slightly less than one minute.You can access the data using the following commands.

library(TSA)
data(eeg)

Analyze this dataset using the methods that you have learned in this course about spectral analysis. Your final report should address the following.

• Estimate the spectrum (spectral density) using a modified Daniell kernel twice with m = 51 both times (i.e. use kernel("modified.daniell", c(51,51)) ). Plot and inspect the estimated spectrum, determine the frequency corresponding to the peak in the estimated spectrum, and construct a 95% confidence interval for the underlying spectral density at the frequency that you specified.

Format:Your report should include the following sections.

• Introduction: Statement of the problem. In addition, in this section, you should describe how your report is organized.


• Material and Methods: Description of your data and the methods you have used for the analysis. You would need to explain what is the periodogram, what it can reveal, and the reason for smoothing the raw periodogram.


• Results: report the results of your analysis. You can cut and paste some of your computer outputs and refer to them in explaining your results.


• Appendix: Include all the code you used to analyze the data in the appendix.