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Standard Error Bands
Description
Standard Error Bands are a type of
Envelope developed by Jon Andersen. They are similar to
Bollinger Bands in
appearance, but they are calculated and interpreted quite
differently. Where Bollinger Bands are plotted at standard deviation
levels above and below a moving average, Standard Error Bands are
plotted at standard error levels above and below a linear regression
plot. Click here for a definition of
standard error.
For information on other channel-based line studies, see
Envelopes,
Raff Regression Channels, Standard
Deviation Channels, and Standard Error
Channels.
Interpretation
When displaying Standard Error Bands, you are prompted to
enter the number of periods in the bands and the number of standard
errors between the bands and the linear regression line. Mr.
Andersen recommends default values of "21" for the number of
periods, a 3-day simple moving average for the smoothing, and "2"
standard errors. He also notes that very short time frames tend to
produce unreliable results.
MetaStock plots Standard Error Bands on the security's prices or
indicator. These interpretational comments refer to bands on the
security's closing price.
Because the spacing between Standard Error Bands is based on the
standard error of the security, the bands widen when the volatility
around the current trend increases, and contract when volatility
around the current trend decreases.
Since Standard Error Bands are statistically based, other
statistical indicators such as r-squared, Standard Error, Linear
Regression, etc. work well for trade confirmation.
Mr. Andersen notes the following characteristics of Standard Error
Bands.
- Tight bands are an indication of a strong trend.
- Prices tend to bounce between the bands when the bands are
wide.
- Tight bands followed by a widening of the bands may indicate
the exhaustion of a trend and a possible reversal.
- When the bands reverse direction after an exhausted trend,
prices tend to move in the direction of the bands.
- The r-squared indicator works
well in combination with Standard Error Bands. A high r-squared
value combined with tight bands confirms a strong trend. A low
r-squared value combined with wide bands confirms that prices
are consolidating.
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