6 Structure (s)I'm responding to your post, as an excuse to re-post....people tend to only read the final page of a thread only. If I re-post it will be on a fresh page and hopefully viewed longer.Originally Posted by ;
Serial Correlation....
The deficiency of daily serial correlation in market markets is frequently the starting point for random market concept. Studies as early as Labys and Granger (1970) confirm the daily randomness. Even in trending markets, the expectation of upward price or down price for the following day is still about 50-50. Even odds in non-trending markets isn't hard to comprehend; in trending types it is not so obvious. A market that's trending up or down will possess an enhanced probability from the fashion direction; it is simply pretty nicely masked by the random element that's always present. By way of instance, a tendency of one cent per day (on average) is practically lost in the average daily trading range of, say, ten cents. By egory, nevertheless, the random element can be averaged from the underlying price movement could be seen. We'll illue this point.
Assessing one day's information to the previous days information (or comparing one candlestick into the next candlestick, or comparing one price to the next price) following the market this manner, are examples of linear steps.
Now if you follow the information, linearly, day to day in sequential/chronological order, the market appears to move randomly. There is no day to day signs of a underlying trend.
This is the point where the random theory conspiracist's view this as some type of evidence that the markets are a random walk. When you take a look at the information in a linear, chronological, sequential, string (time series) it merely appears to be random This demones is that even in a fashion there is no day to day serial correlation. Even in trending markets, the expectation of upward price or down price for the following day is still about 50-50
instead of linearly stick to the information price to price. Lets begin measuring the exact same exact information, using non linear steps used in market analysis. Here we'll use a two day sample of information. As opposed to following the information day to day in sequential order. The results look just as random as following the market daily. There is still no signs of the underlying downtrend Even with a two day sample of information.
Let us look at a three day sample of information.... Now things begin to get interesting..Same exact data. . Still using non linear measures.Now you begin seeing some signs of the underlying downtrend. By using a three day sample of information you started to filter from the day to day random changes (random element )
It also becomes more apparent with the 4 day sample of information.
What exactly does this prove? .... Do the mathematics
Testing a Trend for Serial Correlation
There is one long downward trend from March 6, 1991, through July 10, 1991. This conduct covered 88 trading days (127 calendar days) or just over four weeks. The entire price fall is 121 cents or 1.375 cents per trading day. The daily trading-range average over the 88 trading days is 8.17 cents, which range between a high of 29.25 plus a low of 3.25 cents. Table 1-5 has the prices along with a list of higher/lower prices on the basis of 1 day, two days,... through 5 times.
Considering that a downtrend has been Pre-selected, we've added a bias to the downside.
Therefore ties those cases in which the compared prices were that the same-will be given to the H, or higher count. That contributes to Table 1-6
One of those basic fundamentals in AMVT is an understanding that the markets are not linear. Employing linear steps to explain analyze a non linear market is similar to using a tape measure to measure how many gallons it takes to fill a bucket
Should you set your information, group prices over the correct sample of period (price over time) rather than look at the information linearly, day to day through a string of candlesticks, you find the markets are in no way a random walk.
A market that's trending up or down will have an enhanced probability from the trend management
To examine that statement in a downtrend using the data beginning with the 1 day sample of information.
If you traded in the course of the last day's tendency (following price) with the probability of trading with the underlying trend, you would have correctly traded in the direction of the underlying tendency 52% of the time and you would have been incorrect 48% of the time. Correctly trading in the direction of the underlying trend following price day-to-day is still pretty much a coin toss.
Let us look at the two day sample.had you traded in the direction of the underlying trend following the two day samples of information rather than following price, you would have correctly traded in the management of the underlying tendency 62 percent of the time and you would have been incorrect 38% of the time.
Now things get interesting. .
Let us look at the three day sample.had you traded in the direction of the underlying trend using the three day samples of information rather than following price, You would have correctly traded in the direction of the underlying trend, 70 percent of the period and incorrect 30% of their time.
4 evening sample you would have been correct 73 percent of their time and incorrect 27% of the time.
5 day sample you would have been correct 76 percent of their time and wrong 24% of the time.etc.
This is what you call proof of principle...