In mathematics, the limit comparison test (LCT) (in contrast with the related direct comparison test) is a method of testing for the convergence of an...

the comparison test, sometimes called the direct comparison test to distinguish it from similar related tests (especially the limit comparison test), provides...

this limit exists and is equal to zero. The test is inconclusive if the limit of the summand is zero. This is also known as the nth-term test, test for...

Comparison test can mean: Limit comparison test, a method of testing for the convergence of an infinite series. Direct comparison test, a way of deducing...

Convergence tests Convergence (mathematics) Direct comparison test Dominated convergence theorem Euler-Maclaurin formula Limit comparison test Monotone convergence...

if the a n {\displaystyle a_{n}} alternate in sign). Comparison test 2 (see Limit comparison test): If ∑ b n {\textstyle \sum b_{n}} is an absolutely convergent...

so as well. Limit comparison test. If { a n } , { b n } > 0 {\displaystyle \left\{a_{n}\right\},\left\{b_{n}\right\}>0} , and the limit lim n → ∞ a n...

In statistics, the multiple comparisons, multiplicity or multiple testing problem occurs when one considers a set of statistical inferences simultaneously...

significant difference) test, is a single-step multiple comparison procedure and statistical test. It can be used to correctly interpret the statistical...

In statistics, Dunnett's test is a multiple comparison procedure developed by Canadian statistician Charles Dunnett to compare each of a number of treatments...

which the components of a mixture are miscible for all compositions Limit comparison test, for series convergence Linear canonical transformation, an integral...

make the ratio test applicable to certain cases where the limit L fails to exist, if limit superior and limit inferior are used. The test criteria can also...

root test instead. The root test states that: if C < 1 then the series converges absolutely, if C > 1 then the series diverges, if C = 1 and the limit approaches...

Integral test for convergence Cauchy's convergence test Ratio test Direct comparison test Limit comparison test Root test Alternating series test Dirichlet's...

{\log(1+p_{n})}{p_{n}}}=\lim _{x\to 0}{\frac {\log(1+x)}{x}}=1,} and by the limit comparison test it follows that the two series ∑ n = 1 ∞ log ⁡ ( 1 + p n ) and ∑...

regarded as a comparison of two variances, but the specific case being discussed in this article is that of two populations, where the test statistic used...

In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample...

Comparison test (AFC) is a method of identifying substantial similarity for the purposes of applying copyright law. In particular, the AFC test is...

(LSD) test, Tukey's honestly significant difference (HSD) test, Newman Keuls test, Ducan's test "a posteriori comparisons"/ "post hoc comparisons"/ "exploratory...

in the limit. The test was used by Gottfried Leibniz and is sometimes known as Leibniz's test, Leibniz's rule, or the Leibniz criterion. The test is only...

In statistics, the Kolmogorov–Smirnov test (K–S test or KS test) is a nonparametric test of the equality of continuous (or discontinuous, see Section 2...

the quotient or converts it to a limit that can be evaluated directly. limit comparison test The limit comparison test allows one to determine the convergence...

The detection limit of a test is the concentration at which the test starts to turn from negative to positive. Although the detection limit may vary between...

becomes exact in the limit as the sample size grows to infinity, as with many statistical tests. Fisher is said to have devised the test following a comment...

tests are used to test the fit between a hypothesis and the data. Choosing the right statistical test is not a trivial task. The choice of the test depends...

List of limits: list of limits for common functions Squeeze theorem: finds a limit of a function via comparison with two other functions Limit superior...

Limit (mathematics) Limit of a function One-sided limit Limit of a sequence Indeterminate form Orders of approximation (ε, δ)-definition of limit Continuous...

for the t-test and has also contrasted Bayesian estimation for assessing null values with Bayesian model comparison for hypothesis testing. Two competing...

Student's t-test is a statistical test used to test whether the difference between the response of two groups is statistically significant or not. It...

A chi-squared test (also chi-square or χ2 test) is a statistical hypothesis test used in the analysis of contingency tables when the sample sizes are large...