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See searches and references containing NULL HYPOTHESIS!NULL HYPOTHESIS
Position that there is no relationship between two phenomena
The null hypothesis (often denoted H 0 {\textstyle H_{0}} ) is the claim in scientific research that the effect being studied does not exist. The null hypothesis
Null_hypothesis
Method of statistical inference
population can be a hypothesis (but not a statement about the sample). The test compares two hypotheses: a default "null" hypothesis (denoted H0) and its
Statistical_hypothesis_test
Proposed explanation for an observation, phenomenon, or scientific problem
statistical hypothesis testing, two hypotheses are compared. These are called the null hypothesis and the alternative hypothesis. The null hypothesis is the
Hypothesis
Study of collection and analysis of data
used in the test. Working from a null hypothesis, two basic forms of error are recognized: Type I errors (null hypothesis is rejected when it is in fact
Statistics
Function of the observed sample results
In null-hypothesis significance testing, the p-value is the probability of obtaining test results at least as extreme as the result actually observed
P-value
Observed inability to reproduce scientific studies
common case, null hypothesis testing, there are two hypotheses, a null hypothesis H 0 {\displaystyle H_{0}} and an alternative hypothesis H 1 {\displaystyle
Replication_crisis
Concept in inferential statistics
statistical hypothesis testing, a result has statistical significance when a result at least as "extreme" would be very infrequent if the null hypothesis were
Statistical_significance
Concepts from statistical hypothesis testing
true null hypothesis in statistical hypothesis testing. A type II error, or a false negative, is the incorrect acceptance of a false null hypothesis. An
Type_I_and_type_II_errors
Statistical hypothesis test
-value by comparing T {\displaystyle T} to its distribution under the null hypothesis. The ranks are defined so that R i {\displaystyle R_{i}} is the number
Wilcoxon_signed-rank_test
Nonparametric test of the null hypothesis
Wilcoxon–Mann–Whitney test) is a nonparametric statistical test of the null hypothesis that randomly selected values X and Y from two populations have the
Mann–Whitney_U_test
Statistical test comparing two probability distributions
distribution functions of two samples. The null distribution of this statistic is calculated under the null hypothesis that the sample is drawn from the reference
Kolmogorov–Smirnov_test
Statistical hypothesis test
valid when the test statistic is chi-squared distributed under the null hypothesis, specifically Pearson's chi-squared test and variants thereof. Pearson's
Chi-squared_test
Alternative assumption to the null hypothesis
alternative hypothesis instead of the exclusive proposition in the test (null hypothesis). It is usually consistent with the research hypothesis because it
Alternative_hypothesis
Statistical hypothesis test
checks if it follows an F-distribution. This check is valid if the null hypothesis is true and standard assumptions about the errors (ε) in the data hold
F-test
Statistical hypothesis test
It is any statistical hypothesis test in which the test statistic follows a Student's t-distribution under the null hypothesis. It is most commonly applied
Student's_t-test
Statistical methods for comparing samples
null hypothesis if | z | > 1.96 {\displaystyle |z|>1.96} (for a two-tailed test). Or, alternatively, by computing the p-value and rejecting the null hypothesis
Two-proportion_Z-test
Chance of wrongly rejecting the null hypothesis
or false alarm rate ) is the probability of falsely rejecting the null hypothesis for a particular test. The false positive rate is calculated as the
False_positive_rate
Statistical interpretation with many tests
null hypotheses. Suppose we have a number m of null hypotheses, denoted by: H1, H2, ..., Hm. Using a statistical test, we reject the null hypothesis if
Multiple_comparisons_problem
Evaluates how likely it is that any difference between data sets arose by chance
, the number of times that the die has fallen on each number. The null hypothesis is M u l t i n o m i a l ( N ; 1 / 6 , . . . , 1 / 6 ) {\displaystyle
Pearson's_chi-squared_test
Method for estimating the unknown parameters in a linear regression model
the null hypothesis is rejected and the alternative hypothesis, that the regression has explanatory power, is accepted. Otherwise, the null hypothesis of
Ordinary_least_squares
Probability distribution of the test statistic under the null hypothesis
In statistical hypothesis testing, the null distribution is the probability distribution of the test statistic when the null hypothesis is true. For example
Null_distribution
Unexpected outcome in experiments
different from what is to be expected under the null hypothesis; its probability (under the null hypothesis) does not exceed the significance level, i.e
Null_result
Probability of making type I errors when performing multiple hypotheses tests
null hypotheses. Suppose we have a number m of null hypotheses, denoted by: H1, H2, ..., Hm. Using a statistical test, we reject the null hypothesis if
Family-wise_error_rate
Term in statistical hypothesis testing
power is the probability of detecting an effect (i.e. rejecting the null hypothesis) given that some prespecified effect actually exists using a given
Power_(statistics)
Statistical test that compares goodness of fit
ratio of their likelihoods. If the more constrained model (i.e., the null hypothesis) is supported by the observed data, the two likelihoods should not
Likelihood-ratio_test
Statistical method for handling multiple comparisons
(FDR) is a method of conceptualizing the rate of type I errors in null hypothesis testing when conducting multiple comparisons. FDR-controlling procedures
False_discovery_rate
Collection of statistical models
order to have a reasonable chance of rejecting the null hypothesis when the alternative hypothesis is true. Several standardized measures of effect have
Analysis_of_variance
Non-parametric method for testing whether samples originate from the same distribution
difference in medians, then the null hypothesis is that the medians of all groups are equal, and the alternative hypothesis is that at least one population
Kruskal–Wallis_test
Mathematical representation of absence of a value
kernel, is the set of vectors which map to the null vector under that mapping. In statistics, a null hypothesis is a proposition that no effect or relationship
Null_(mathematics)
Types of error in data reporting
corresponds to rejecting the null hypothesis, and a negative result corresponds to not rejecting the null hypothesis. The terms are often used interchangeably
False positives and false negatives
False_positives_and_false_negatives
Obligation on a party in a dispute to provide sufficient warrant for their position
null hypothesis is rejected if the observed data are significantly unlikely to have occurred if the null hypothesis were true. In this case the null hypothesis
Burden_of_proof_(philosophy)
Use of statistical arguments to assert falsehoods
"significance testing" (where the null hypothesis is never accepted) with "hypothesis testing" (where some hypothesis is always accepted). Statistical
Misuse_of_statistics
Exact statistical hypothesis test
exact statistical hypothesis test. A permutation test involves two or more samples. The (possibly counterfactual) null hypothesis is that all samples
Permutation_test
Misinterpretation of statistical significance
results: either the null hypothesis is rejected (which however does not prove that the null hypothesis is false), or the null hypothesis cannot be rejected
Misuse_of_p-values
1935 book by R.A. Fisher
replication, blocking, and contains Fisher’s influential discussion of the null hypothesis, illustrated in the context of the Lady tasting tea experiment. The
The_Design_of_Experiments
Statistical test with teststatistic the number of signs of one type
tests. Let p = Pr(X > Y), and then test the null hypothesis H0: p = 0.50. In other words, the null hypothesis states that given a random pair of measurements
Sign_test
Statistical test
between the unrestricted estimate and its hypothesized value under the null hypothesis, where the weight is the precision of the estimate. Intuitively, the
Wald_test
Ways of computing statistical significance
for null hypothesis testing and if the estimated value exists in the critical areas, the alternative hypothesis is accepted over the null hypothesis. A
One-_and_two-tailed_tests
Suggestion of an alien civilization on Earth
humanoids. Tonnies compared his "Crypto-terrestrial Hypothesis" with what he termed the Null Hypothesis of UFOs, the idea that "UFOs can be universally ascribed
Cryptoterrestrial_hypothesis
Apparent, but false, correlation between causally-independent variables
if the null hypothesis were true. While a true null hypothesis will be accepted 95% of the time, the other 5% of the times having a true null of no correlation
Spurious_relationship
Statistical technique used to correct for multiple comparisons
Statistical hypothesis testing is based on rejecting the null hypothesis when the likelihood of the observed data would be low if the null hypothesis were true
Bonferroni_correction
Statistical test
statistical test for which the distribution of the test statistic under the null hypothesis can be approximated by a normal distribution. Z-test tests the mean
Z-test
Ratio of competing statistical models
models in question can have a common set of parameters, such as a null hypothesis and an alternative, but this is not necessary; for instance, it could
Bayes_factor
Statistical theorem
chi-squared ( χ 2 {\displaystyle \chi ^{2}} ) distribution under the null hypothesis H 0 {\displaystyle H_{0}} . Here, Λ {\displaystyle \Lambda } denotes
Wilks'_theorem
Statistical method
p-value for the ith hypothesis test. When the p-values tend to be small, the test statistic X2 will be large, which suggests that the null hypotheses are not
Fisher's_method
Statistical proof by contradiction technique
non-linearity in a time series. The technique involves specifying a null hypothesis H 0 {\displaystyle H_{0}} describing a linear process and then generating
Surrogate_data_testing
Statistical concept
In statistical hypothesis testing, e-values quantify the evidence in the data against a null hypothesis (e.g., "the coin is fair", or, in a medical context
E-values
Systemic inaccuracy
goodness of a hypothesis test is determined by its type I and type II errors. Type I error, or false positive, happens when the null hypothesis is correct
Bias_(statistics)
Application of statistical techniques to biological systems
be proposed, transforming this question into a hypothesis. The main propose is called null hypothesis (H0) and is usually based on a permanent knowledge
Biostatistics
Type of data analysis
does not assume a normal distribution of the dependent variables. A null hypothesis is an assumption that the independent variables do not have any impact
Multivariate logistic regression
Multivariate_logistic_regression
Statistical significance test
tests, so called because the significance of the deviation from a null hypothesis (e.g., p-value) can be calculated exactly, rather than relying on an
Fisher's_exact_test
is to say that whenever the null hypothesis is true, then an a.s. hypothesis test will fail to reject the null hypothesis w.p. 1 for all sufficiently
Almost sure hypothesis testing
Almost_sure_hypothesis_testing
Statistical tool to assess investments
{\displaystyle SR_{0}} is the **expected maximum Sharpe Ratio** under the null hypothesis of no skill, H 0 : S R = S R 0 {\displaystyle H_{0}:SR=SR_{0}} . It
Deflated_Sharpe_ratio
Misuse of data analysis
mistaken conclusions of a certain type (mistaken rejections of the null hypothesis). This level of risk is called the significance. When large numbers
Data_dredging
Canadian educator (born 1942)
third article on the same website. In 2003 Alcock published Give the Null Hypothesis a Chance: Reasons to Remain Doubtful about the Existence of Psi, in
James_Alcock
Statistical test for normality of data
test. It is used to test the null hypothesis that data come from a normally distributed population, when the null hypothesis does not specify which normal
Lilliefors_test
Study of paranormal and psychic phenomena
beyond null results in the way science usually does. Ordinarily, when experimental evidence fails repeatedly to support a hypothesis, that hypothesis is abandoned
Parapsychology
Statistical test based on the gradient of the likelihood function
the score—evaluated at the hypothesized parameter value under the null hypothesis. Intuitively, if the restricted estimator is near the maximum of the
Score_test
Evolutionary theory
various traits. Many evolutionary biologists posit that CNE must be the null hypothesis when explaining the emergence of complex systems to avoid assuming
Constructive neutral evolution
Constructive_neutral_evolution
Statistical hypothesis testing measure
the null hypothesis for any result with an equal or smaller p-value, the q-value gives the expected pFDR obtained by rejecting the null hypothesis for
Q-value_(statistics)
Statistical test of whether two populations have equal means
statistics is a two-sample location test which is used to test the (null) hypothesis that two populations have equal means. It is named for its creator
Welch's_t-test
Probability distribution
set {x1, ..., xn} comes from a normal distribution. Typically the null hypothesis H0 is that the observations are distributed normally with unspecified
Normal_distribution
Test of statistical significance
underlying probability π 0 {\displaystyle \pi _{0}} between 0 and 1, the null hypothesis is H 0 : π = π 0 {\displaystyle H_{0}\colon \pi =\pi _{0}} For a sample
Binomial_test
Statistical test used on paired nominal data
this provides sufficient evidence to reject the null hypothesis, in favour of the alternative hypothesis that pb ≠ pc, which would mean that the marginal
McNemar's_test
Statistical test of variance
The F statistic is distributed F(k-1,n-k),(α) under assumption of null hypothesis and normality assumption. F test is considered robust in some situations
Omnibus_test
Medical mnemonic for framing questions
of a theory or method; (3) alternative theories or methods (or the null hypothesis); and (4) the ultimate goal of knowledge generation. This proposition
PICO_process
Statistic used in statistical hypothesis testing
distinguish the null from the alternative hypothesis, where such an alternative is prescribed, or that would characterize the null hypothesis if there is
Test_statistic
Time series statistical test
Dickey–Fuller test (ADF) tests the null hypothesis that a unit root is present in a time series sample. The alternative hypothesis depends on which version of
Augmented_Dickey–Fuller_test
Logical error, form of selection bias
to continue testing. He postulated that experiments confirming the null hypothesis (i.e., showing no result) would not be reported, but "[e]ventually
Survivorship_bias
Time series model
null hypothesis and conclude there is an ARCH effect in the ARMA model. If T'R² is smaller than the Chi-square table value, we do not reject the null
Autoregressive conditional heteroskedasticity
Autoregressive_conditional_heteroskedasticity
Time series statistical test
Kwiatkowski–Phillips–Schmidt–Shin (KPSS) tests are used for testing a null hypothesis that an observable time series is stationary around a deterministic
KPSS_test
Tool used to draw statistical inferences from observed data
tests are a variety of hypothesis tests used to draw statistical inferences from observed data. In these tests, the null hypothesis is defined as an effect
Equivalence_test
Normality test
statistic can be used to test the hypothesis that the data are from a normal distribution. The null hypothesis is a joint hypothesis of the skewness being zero
Jarque–Bera_test
Test statistic
from least squares regressions, and developed bounds tests for the null hypothesis that the errors are serially uncorrelated against the alternative that
Durbin–Watson_statistic
Ratio in statistics
used in hypothesis testing via Student's t-test. The t-statistic is used in a t-test to determine whether to support or reject the null hypothesis. It is
T-statistic
Property of a statement that can be logically contradicted
falsifier that can be not rejected statistically is typically the null hypothesis, as understood even in popular accounts on falsifiability. Statisticians
Falsifiability
Theorem about the power of the likelihood ratio test
The trivial cases where one always rejects or fails to reject the null hypothesis are of little interest but it does prove that one must not relinquish
Neyman–Pearson_lemma
Financial theory
evidence is the simple volatility-based specification test, which has a null hypothesis that states: X t = μ + X t − 1 + ϵ t {\displaystyle X_{t}=\mu +X_{t-1}+\epsilon
Random_walk_hypothesis
Correlation coefficient used when one variable is dichotomous
{X}})^{2}}}\left({\frac {n_{1}n_{0}}{n}}\right)\,.} We can test the null hypothesis that the correlation is zero in the population. A little algebra shows
Point-biserial correlation coefficient
Point-biserial_correlation_coefficient
Statistical test
single explanatory variable "X", hence "one-way". The ANOVA tests the null hypothesis, which states that samples in all groups are drawn from populations
One-way_analysis_of_variance
Pattern-recognition performance metrics
positives / relevant elements). Adopting a hypothesis-testing approach, where in this case, the null hypothesis is that a given item is irrelevant (not a
Precision_and_recall
Test used in statistics
In statistics, an F-test of equality of variances is a test for the null hypothesis that two normal populations have the same variance. Notionally, any
F-test of equality of variances
F-test_of_equality_of_variances
Famous randomized experiment
The experiment is the original exposition of Fisher's notion of a null hypothesis, which is "never proved or established, but is possibly disproved,
Lady_tasting_tea
Test of normality in frequentist statistics
Samuel Sanford Shapiro and Martin Wilk. The Shapiro–Wilk test tests the null hypothesis that a sample x1, ..., xn came from a normally distributed population
Shapiro–Wilk_test
Statistic quantifying the association between two events
Under the null hypothesis that ψ = 1 , π = 1 / ( 1 + 1 ) = 0.5 {\displaystyle \psi =1,\pi =1/(1+1)=0.5} . Hence, we can test the null hypothesis that ψ =
Odds_ratio
Practical importance of a treatment
on daily life. Statistical significance is used in hypothesis testing, whereby the null hypothesis (that there is no relationship between variables) is
Clinical_significance
Higher probability of publishing results showing a significant finding
become newsworthy to publish reliable papers that fail to reject the null hypothesis. Most commonly, investigators simply decline to submit results, leading
Publication_bias
Statistical test of equal group variances
drawn are equal. Levene's test assesses this assumption. It tests the null hypothesis that the population variances are equal (called homogeneity of variance
Levene's_test
appropriate null model behaves in accordance with a reasonable null hypothesis for the behavior of the system under investigation. One null model of utility
Null_model
Calculation of complex statistical distributions
commonly estimated using Newey-West estimators or batch means. Under the null hypothesis of convergence, the statistic Z {\displaystyle Z} follows an approximately
Markov_chain_Monte_Carlo
Obsolete postulated medium for the propagation of light
enough that the value may have indeed been zero. Therefore, the null hypothesis, the hypothesis that there was no aether wind, could not be rejected. More
Luminiferous_aether
Measure of linear correlation
often focuses on one of the following two aims: One aim is to test the null hypothesis that the true correlation coefficient ρ is equal to 0, based on the
Pearson correlation coefficient
Pearson_correlation_coefficient
American psychologist (1920–2003)
critic of using statistical null hypothesis testing for the evaluation of scientific theory. He believed that null hypothesis testing was partly responsible
Paul_E._Meehl
Data analysis approach in frequentist statistics
analyze data and interpret results. It complements hypothesis testing approaches such as null hypothesis significance testing (NHST), by going beyond the
Estimation_statistics
Time series statistical test
Dickey–Fuller test tests the null hypothesis that a unit root is present in an autoregressive (AR) time series model. The alternative hypothesis is different depending
Dickey–Fuller_test
Probability distribution and special case of gamma distribution
particular, simple LRTs commonly provide the highest power to reject the null hypothesis (Neyman–Pearson lemma) and this leads also to optimality properties
Chi-squared_distribution
Technique altering AI content for easier detection
{|G|_{\text{hits}}-\gamma T}{\sqrt {T\gamma (1-\gamma )}}}} Under the null hypothesis that the text was written by an unwatermarked source (human or another
AI_content_watermarking
Statistical test
alternative hypothesis within an independent samples (between-participants) design. It is similar to the Kruskal-Wallis test in that the null hypothesis is that
Jonckheere's_trend_test
American talk radio host and author who advocates for alternative medicine
AIDS; the OPV AIDS hypothesis was propounded for the first time over one of his radio-shows, by a fellow foot-soldier. Some of Null's productions portrayed
Gary_Null
Statistical test
cell, E i > 0 {\displaystyle E_{i}>0} is the expected count under the null hypothesis, ln {\displaystyle \ln } denotes the natural logarithm, and the sum
G-test
NULL HYPOTHESIS
NULL HYPOTHESIS
Boy/Male
British, English
Grinder
Male
English
Medieval pet form of English Oliver, probably NOLL means "elf army."
Surname or Lastname
English
English : nickname from Middle English gulle ‘gull’ or gul(le) (Old Norse gulr) ‘yellow’, ‘pale’ (of hair or complexion).Swiss German : nickname for an irascible or unreliable person, from an Alemannic form of Latin gallus ‘rooster’. See also Guell.
Girl/Female
American, Australian, British, Danish, English, French, German, Greek, Irish, Swedish
Shining Light; Light; The Light of the Sun from Eleanor and Variation of Helen; Sun Ray; Stone; Champion; Horn; Torch; Moon; Moon Elope
Girl/Female
Arabic
Arabian Jasmine
Surname or Lastname
English
English : unexplained.Possibly a shortened form of any of several German compound surnames formed with Full- or Füll-.
Surname or Lastname
English
English : nickname for a strong, aggressive, bull-like man, from Middle English bul(l)e, bol(l)e. Occasionally, the name may denote a keeper of a bull. Compare Bulman.German (mainly northern) : from a byname for a cattle breeder, keeper, or dealer. Compare South German Ochs.South German : nickname for a short fat man, a variant of Bolle, or a nickname for a man with the physical characteristics of a bull.
Girl/Female
Afghan, Australian, Danish, Swedish
God
Male
Hungarian
Hungarian form of Greek Emmanouel, EMÃNUEL means "God is with us."
Surname or Lastname
English
English : variant of Hill 1.English : from a pet form of Hugh.
Boy/Male
Celtic
Champion.
Surname or Lastname
English
English : from the Old English personal name Cula.Americanized spelling of German and Swedish Kall or German Koll.
Surname or Lastname
English
English : from an Old English personal name, Lulla.German (Lüll) : from a short form of any of the Germanic personal names formed with liut- ‘people’ as the first element.Catalan (also Llull) : from the personal name Lullus, probably of Germanic origin.
Female
English
Pet form of English Eleanor, NELL means "foreign; the other."
Surname or Lastname
English
English : of uncertain origin, possibly from an unrecorded late survival of the Old English personal name Tula.South German (Tüll) : from a nickname for someone who was patient, from Middle High German dult ‘patience’; or from a personal name formed with the same word; or from Middle High German tult, dult ‘fair’, ‘festival’ (Bavarian Dult).South German : nickname for a stubborn man, Tull.Altered spelling of German Toll.
Boy/Male
Hindu
Battle maiden
Surname or Lastname
Dutch and German
Dutch and German : from the personal name Nel, a reduced form of Cornelius.South German : nickname from Middle High German nelle ‘crown of the head’, perhaps denoting an obstinate person.English : from the Middle English personal name Nel(le), a variant of Neill.
Boy/Male
British, English, Spanish
Strong Leader; Empty
Boy/Male
Shakespearean
Love's Labours Lost' A constable.
Girl/Female
Greek American English French
Shining light. The bright one.
NULL HYPOTHESIS
NULL HYPOTHESIS
Boy/Male
Arabic, Australian, British, Indonesian
Last One to Arrive; High; One who Like to Pray; Follower of God
Girl/Female
Assamese, Indian
The Fire of a Candle
Boy/Male
Tamil
Causing prosperity, Lord Vishnu
Female
English
Short form of English Marjorie, JORIE means "pearl."
Girl/Female
Biblical
The house of vanity, of iniquity of trouble.
Girl/Female
Indian, Marathi
Decent; Benevolent; Loud; Lucky
Boy/Male
Australian, Jamaican
Manse of Clergyman
Boy/Male
Arabic, Muslim
Spiritual Guide; Advisor; Instructor; Mentor
Female
Spanish
Feminine form of Spanish Graciano, GRACIANA means "pleasing, agreeable."
Male
Egyptian
, the second king of the IInd Thinite dynasty.
NULL HYPOTHESIS
NULL HYPOTHESIS
NULL HYPOTHESIS
NULL HYPOTHESIS
NULL HYPOTHESIS
a.
Full to the brim; quite full; chock-full.
Compar.
Abundantly furnished or provided; sufficient in. quantity, quality, or degree; copious; plenteous; ample; adequate; as, a full meal; a full supply; a full voice; a full compensation; a house full of furniture.
v. t.
To move or operate by the motion of drawing towards one; as, to pull a bell; to pull an oar.
superl.
Not bright or clear to the eye; wanting in liveliness of color or luster; not vivid; obscure; dim; as, a dull fire or lamp; a dull red or yellow; a dull mirror.
v. t.
To strip off or separate the hull or hulls of; to free from integument; as, to hull corn.
Compar.
Not wanting in any essential quality; complete, entire; perfect; adequate; as, a full narrative; a person of full age; a full stop; a full face; the full moon.
superl.
Furnishing little delight, spirit, or variety; uninteresting; tedious; cheerless; gloomy; melancholy; depressing; as, a dull story or sermon; a dull occupation or period; hence, cloudy; overcast; as, a dull day.
n.
A contest; a struggle; as, a wrestling pull.
a.
Of or pertaining to a bull; resembling a bull; male; large; fierce.
n.
A promontory; as, the Mull of Cantyre.
v. t.
To heat, sweeten, and enrich with spices; as, to mull wine.
a.
Quite full; choke-full.
n.
A cully; a dupe; a gull. See Cully.
n.
A knob, handle, or lever, etc., by which anything is pulled; as, a drawer pull; a bell pull.
v. t.
To endeavor to raise the market price of; as, to bull railroad bonds; to bull stocks; to bull Lake Shore; to endeavor to raise prices in; as, to bull the market. See 1st Bull, n., 4.
a.
No; not any; as, nul disseizin; nul tort.
v. i.
To become dull or stupid.
v. t.
To gather with the hand, or by drawing toward one; to pluck; as, to pull fruit; to pull flax; to pull a finch.
v. t.
To dispirit or deaden; to dull or blunt.
n.
The act of rowing; as, a pull on the river.