The celeration period

In my previous blog post I used the term “celeration period” in a rather cavalier manner. In Precision Teaching, however, celeration period has a distinct meaning. Namely, the celeration period refers to a fixed length of time on a Standard Celeration Chart (SCC). With four different types of charts in the SCC family (i.e., Daily per day chart, Weekly per week chart, Monthly per month chart, Yearly per year chart), each chart has its own celeration period. For the Daily per day chart, the celeration period = 7 days or one week (see figure below). The Weekly per week chart has a celeration period of one month. The Monthly per month chart and Yearly per year chart, respectively have celeration periods of six months and five years.

A celeration period for one week appears in the cross section above. Notice the celeration line technically starts on day 0 (recall all thick lines represent Sunday whereas the other thin lines cover Monday through Saturday). On the Daily SCC if we measured 24 hours of time we see the time frame starts at day 0 and goes to day 1. Then another 24 hours from day 1 to day 2 gives us 48 hours (see top of figure and hours). At the end of the week, we have a total of 168 hours and the celeration line stops on a Sunday line. Therefore, everyone using the Daily SCC to analyze the daily behavior will first see learning changes in one celeration period (1 week or 168 hours).

Learning = Celeration = minimum of 5 data points (though some prefer a 7-9 data point minimum)

Performance = Frequency = 1 data point

Therefore, on any chart you can see performance and performance change, which means looking at one data point to another. The change in one dot to the next tells you precisely how much a performance has improved, worsened, or maintained. To see learning changes we have celeration which tells us precisely how much a series of performances have improved, worsened, or maintained. With the Daily SCC a celeration period forms the nest where performance frequencies grow.  I do not know who is the bird in my previous analogy but let’s just go with it.

Each chart has 20 celeration periods. If you look at the cross section of the the Daily SCC you will see the 20 celeration periods. If a celeration period equals 1 week then 20 celeration periods cover 140 days. On a Daily SCC that covers quite a bit of ground! As a person interested in behavior change you have a lot of real estate to monitor learning changes.

One final note, the geometry of the chart contains standard angles which have mathematical significance. Notice how on the figure above the x2.0 celeration appears on the protractor. You will see the line almost perfectly matches a 34 degree angle; the line falls slightly below 34 to 33.52 but we round up and refer to it as a 34 degree angle. All of the charts in the Standard Celeration Chart family have the 34 degree angle across each celeration period which means the change has doubled. So if we start at 1, as in the figure above, and we double the performance, we end up with 2 (1 x 2 = 2). On the Daily SCC the doubling coupled with the standard 34 degree angle helps chart readers instantly spot significance growth (i.e., acceleration) and decay (i.e., deceleration).

If you want to employ a visually driven, informationally intensive, data monitoring system, consider the power of Standard Celeration Chart. The SCC offers celeration lines with a slope containing valuable quantification. Additionally, the data move within celeration periods giving the chart reader clear vision and a perspective forged in time.

Rick

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2 Responses to The celeration period

  1. John Eshleman says:

    Hi Rick,

    Great points!

    The y-axis line itself is designated as Day 0 down at the bottom of the chart. Day 1 is Monday. Day 7 is the first Sunday on which you can (or should) chart data. We should not chart data on Day 0 (the y-axis line). Day 0 provides a y-intercept for the celeration line. If instead we started the celeration line on Day 1, then that day becomes the de facto y-intercept. Accordingly, the y-intercept on the y-axis itself will be a tad lower if we extend it back to the y-axis line. If we moved it (the resulting whole line) up to the y-intercept at 1 per minute, then we’d have a 38 degree angle, or so, and would result in a celeration slightly higher than 2 per minute per week. That’s ok, if that is, in fact, the actual line of best fit. Obviously we can and do get celerations higher than 2 per minute per week. But that 38 degree line would not be the same as x2 per minute per week.

    The maths on the chart are done geometrically, not algebraically, as Ogden always said.

    We have to remember, too, that the celeration LINE is a line of best fit through a series of frequencies.

    One more point: I think that we should always refer to the units when we refer to celeration values, because the units don’t and can’t cancel out.

    Therefore, instead of writing “x 2” or saying “times two,” or casting it as “a times two celeration line,” we need to mention the time units. Accordingly, using the same example we’d write “x2/min/wk” or say “times two per minute per week.” Week and minute are different time units, and as such don’t and can’t cancel out. This is one of my long-standing pet peeves with PT, because while we often do take that short-hand (“x 2”), outsiders might construe it as being that there aren’t any units of measurement remaining; that celeration is somehow dimensionless; or that the units had somehow canceled out. — JE

  2. Rick says:

    Such good points! In The PT Book I recommend celeration include units such as x2.0 [14 days]. Hadn’t thought to also include time. A nice contribution for the second edition, thanks!

    Rick

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