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- Turning Point Test: An Easy Way To Check Randomness
- TIME SERIES - University of Cambridge
- Introduction to Time Series Analysis. Lecture 13.
- STATS – the Turning Point Test - datafireball
- time series - the turning point test - Cross Validated
- turningpoint.test function - RDocumentation
- The Turning Point Test of Statistical Independence - search.r …
- Turning Point Test for Randomness Equations taken loosely …
- turningpoint.test: The Turning Point Test of Statistical …
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In statistical hypothesis testing, a turning point test is a statistical test of the independence of a series of random variables. Maurice Kendall and Alan Stuart describe the test as "reasonable for a test against cyclicity but poor as a test against trend." The test was first published by Irénée-Jules Bienaymé in 1874.
Statement of test
The turning point test is a test of the null hypothesis
H0: X1, X2, ..., Xn are independent and identically distributed random variables (iid)
against
H1: X1, X2, ..., Xn are not iid.
This test assumes that the Xi have a continuous distribution (so adjacent values are almost surely never equal).
= Test statistic
=We say i is a turning point if the vector X1, X2, ..., Xi, ..., Xn is not monotonic at index i. The number of turning points is the number of maxima and minima in the series.
Letting T be the number of turning points, then for large n, T is approximately normally distributed with mean (2n − 4)/3 and variance (16n − 29)/90. The test statistic
z
=
T
−
2
n
−
4
3
16
n
−
29
90
{\displaystyle z={\frac {T-{\frac {2n-4}{3}}}{\sqrt {\frac {16n-29}{90}}}}}
is approximately standard normal for large values of n.
Applications
The test can be used to verify the accuracy of a fitted time series model such as that describing irrigation requirements.
References
Kata Kunci Pencarian:
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Turning Point Test: An Easy Way To Check Randomness
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Turning Point Test: An Easy Way To Check Randomness
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Turning Point Test: An Easy Way To Check Randomness
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Turning Point Test: An Easy Way To Check Randomness
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Turning Point Test: An Easy Way To Check Randomness
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TurningPoint – Teaching & Learning Support
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Results of turning point test | Download Table
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Turning Point Questions Flashcards | Quizlet
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Turning Point - Elateminds
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Turning point check mark Stock Photo - Alamy
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Solved The Turning Point Test If y1,dots,yn is a sequence | Chegg.com
2: Results from the Turning Point test for testing the independence ...
turning point test
Daftar Isi
Turning point test - Wikipedia
The turning point test is a test of the null hypothesis [1] H 0: X 1, X 2, ..., X n are independent and identically distributed random variables (iid) against H 1: X 1, X 2, ..., X n are not iid. This test assumes that the X i have a continuous distribution (so adjacent values are …
Turning Point Test: An Easy Way To Check Randomness
What is the Turning Point Test? B,C and E have turning points (either peaks or troughs). The turning point test is a test which lets us check whether a set of random variables are independent and identically distributed.
TIME SERIES - University of Cambridge
1.7 The turning point test We may wish to test whether a series can be considered to be white noise, or whether a more complicated model is required. In later chapters we shall consider various ways to do this, for example, we might estimate the autocovariance function, say {γˆk}, and observe whether or not ˆγk is near zero for all k > 0.
Introduction to Time Series Analysis. Lecture 13.
Testing i.i.d.: Turning point test Define T = |{t : Xt,Xt+1,Xt+2 is a turning point}|. ET = (n −2)2/3. Can show T ∼ AN(2n/3,8n/45). Reject (at 5% level) the hypothesis that the series is i.i.d. if T − 2n 3 > 1.96 r 8n 45. Tests for positive/negative correlations at lag 1. 14
STATS – the Turning Point Test - datafireball
Nov 5, 2013 · If you have three contiguous time points, assuming they are of different values. Then there are 6 permutations to order them. And four of them form a turning point (PEAK/PIT).
time series - the turning point test - Cross Validated
If $y_1, \ldots, y_n$ is a sequence of observations, we say that there is a turning point at time $i$, $1 < i < n$, if $y_{i−1} < y_i$ and $y_i > y_{i+1}$, or if $y_{i−1} > y_i$ and $y_i < y_{i+1}$.
turningpoint.test function - RDocumentation
Perform a test of statistical independence of a data series by comparing the number of turning points present in the series with the number of turning points expected to be present in an i.i.d. series.
The Turning Point Test of Statistical Independence - search.r …
Perform a test of statistical independence of a data series by comparing the number of turning points present in the series with the number of turning points expected to be present in an i.i.d. series.
Turning Point Test for Randomness Equations taken loosely …
Example: The turning point test for randomness is used to determine if points) of a serial data set (time-series) is independent of the order of the observations. In the data set to the right are dissolved oxygen measurements made at 3hr intervals at a single measurement site on Burd Run. The peaks and troughs are labeled. This test requires ...
turningpoint.test: The Turning Point Test of Statistical …
Oct 3, 2023 · Perform a test of statistical independence of a data series by comparing the number of turning points present in the series with the number of turning points expected to be present in an i.i.d. series. a numeric vector or univariate time series.