Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

False-positive Effect in the Radin Double-slit Experiment: HARKing is used by Radin et al. to Misrepresent the Advanced Meta-experimental Protocol used in Walleczek and von Stillfried (2019)

Jan Walleczek, Nikolaus von Stillfried

Published Jul 29, 2020• 1 citation
Publisher

Abstract

A general commentary by Walleczek and von Stillfried (2020) was recently published in Frontiers in Psychology. The present work provides an account of (i) the detailed research record and (ii) the main arguments behind the commentary for the purpose of full transparency and disclosure. For historical overview, Walleczek and von Stillfried (2019) had previously reported (i) the absence of any true-positive effects and (ii) the presence of one false-positive effect in a commissioned replication study of the Radin double-slit (DS) experiment on observer consciousness. In their subsequent misrepresentations, Radin et al. (2019, 2020) regrettably used the malpractice of undisclosed HARKing, i.e., undisclosed hypothesizing after the results are known. HARKing can increase greatly the risk of false-negative or false-positive conclusions. Specifically, Radin et al. (2019, 2020) deviated in two major ways from the pre-specified protocol for this commissioned study, which (i) was agreed to by Radin before data collection was started (Radin, 2011) and (ii) included data encryption to prevent the use of p-hacking and HARKing. First, Radin et al. (2019) violate the original research design by reporting a so-called “true-positive outcome of a secondary planned hypothesis”. Contrary to the claim by Radin et al. (2019, 2020), that hypothesis was not, however, part of the planned test strategy, but, instead, the associated statistical analysis – a chi-square test – was chosen by Radin sometime after the planned statistical analysis had been completed and the data unblinded. Second, Radin et al. (2019, 2020) violate the funder-approved research design in an additional way by falsely claiming that the newly developed protocol, i.e., the advanced meta-experimental protocol (AMP), implements a non-predictive test strategy when – in fact – the AMP-based test strategy is strictly predictive. Put simply, Radin et al. (2019, 2020) are mistaken that the funder-approved hypotheses posited the random occurrence of effects for the test categories in this replication experiment; instead, a different specific prediction was tested in each of the eight planned test categories, and true-positive effects were predicted to occur for only two (12.5%) of the 16 possible measurement outcomes of the eight planned single-test categories. Therefore, in the predictive single-testing regime, a statistical correction for non-predictive, i.e., random, multiple testing would not be appropriate and would thus violate the AMP-based strategy, which was implemented in the commissioned study based upon the planned outcome predictions as pre-specified in Radin (2011). Neither of these post-hoc changes by Radin et al. (on the basis of HARKing) were disclosed in Radin et al. (2019, 2020) and both these changes violate the funder-approved, original methodology agreed upon in Radin (2011) and pre-specified in the research contract. In summary, the present work reconfirms that – exactly as reported in Walleczek and von Stillfried (2019) – “the false-positive effect, which would be indistinguishable from the predicted true-positive effect, was significant at p = 0.021 (σ = −2.02; N = 1,250 test trials)” and “no statistically significant effects could be identified” in those two groups for which true-positives were predicted to occur. These observations are consistent also with an independent statistical reanalysis of the Radin DS-experiment by Tremblay (2019) and a replication attempt by Guerrer (2019). Tremblay reported significant false-positives in control groups and Guerrer found significant effects with post-hoc analyses only, but null results only when using the planned confirmatory analysis. As a general recommendation, the authors call for the implementation of advanced control-test strategies, including novel approaches from the metascience reform movement, for empirically detecting and preventing uncontrolled false-positive effects in parapsychological research.

DOI
10.31234/osf.io/a2vkn

Related papers

False-Positive Effect in the Radin Double-Slit Experiment on Observer Consciousness as Determined With the Advanced Meta-Experimental Protocol

Jan Walleczek, Nikolaus von Stillfried

Prior work by Radin et al. (2012, 2016) reported the astonishing claim that an anomalous effect on double-slit (DS) light-interference intensity had been measured as a function of quantum-based observer consciousness. Given the radical implications, could there exist an alternative explanation, other than an anomalous consciousness effect, such as artefacts including systematic methodological error (SME)? To address this question, a conceptual replication study involving 10,000 test trials was commissioned to be performed blindly by the same investigator who had reported the original results. The commissioned study performed confirmatory and strictly predictive tests with the advanced meta-experimental protocol (AMP), including with systematic negative controls and the concept of the sham-experiment. Whereas the replication study was unable to confirm the original results, the AMP was able to identify an unacceptably low true-negative detection rate with the sham-experiment in the absence of test subjects. The false-positive detection rate reached 50%, whereby the false-positive effect, which would be indistinguishable from the predicted true-positive effect, was significant at p = 0.021 (σ = -2.02; N = 1,250 test trials). The false-positive effect size was about 0.01%, which is within an-order-of-magnitude of the claimed consciousness effect (0.001%; Radin et al., 2016). The false-positive effect, which indicates the presence of significant SME in the Radin DS-experiment, suggests that skepticism should replace optimism concerning the radical claim that an anomalous quantum consciousness effect has been observed in a controlled laboratory setting.

Frontiers in Psychology•Aug 22, 2019•20 citations

Independent re-analysis of alleged mind-matter interaction in double-slit experimental data

Nicolas Tremblay

A two year long experimental dataset in which authors of Radin, et al., 2016 claim to find evidence of mind-matter interaction is independently re-analyzed. In this experiment, participants are asked to periodically shift their attention towards or away from a double-slit optical apparatus. Shifts in fringe visibility of the interference pattern are monitored and tested against the common sense null hypothesis that such shifts should not correlate with the participant's attention state. We propose a deeper analysis of the dataset, identifying all the necessary arbitrary pre-analysis choices one needs to make, and carefully assessing the results' robustness regarding these choices. Results are twofold. Firstly, even with a conservative correction for the multiple statistical tests the analysis calls for, we confirm the existence of significant although small anomalies in the direction predicted by the mind-matter interaction hypothesis. On the other hand, and unlike Radin, et al., 2016, we also report significant although even smaller anomalies in the control dataset. This leads us to conclude that this particular dataset does not provide strong evidence of mind-matter interaction, yet certainly contains inexplicable anomalies that should motivate replication attempts in highly controlled environments.

PLoS ONE•Feb 7, 2019•19 citations

Psychophysical effects in double-slit interference patterns: Response to a critique

Dean I. Radin, Helané Wahbeh, Leena Michel +1 more

An experiment was conducted to explore possible psychophysical influences on interference patterns generated by an optical double-slit system. The experiment was motivated by a proposed explanation of the quantum measurement problem by John von Neumann and others, namely that consciousness collapses the quantum wavefunction. The study design generated a single database partitioned into eight differential tests, four in experimental conditions where participants alternately directed their attention toward and away from the optical system, and four in sham conditions when no one was present. The planned analysis was comparison of means in attention-toward vs. attention-away conditions; a secondary analysis added later, but before the data were examined, was comparison of variances. After adjusting the eight mean comparisons for multiple testing, none were statistically significant, but one of the eight variance differences was suggestively significant.To date, 11 of 28 conceptual replications of this experiment, reported by four independent teams, have reported statistically significant outcomes (p < 0.05, two-tail), where only one would be expected by chance. Given the implications of psychophysical effects on our understanding of the role of consciousness in the physical world, we encourage others to attempt to replicate this experiment.

•Oct 21, 2019•5 citations

Psychophysical interactions with a double-slit interference pattern: Exploratory evidence of a causal influence

Dean I. Radin, Helané Wahbeh, Leena Michel +1 more

An experiment we conducted from 2012 to 2013, which had not been previously reported, was designed to explore possible psychophysical effects resulting from the interaction of a human mind with a quantum system. Participants focused their attention toward or away from the slits in a double-slit optical system to see if the interference pattern would be affected. Data were collected from 25 people in individual half-hour sessions; each person repeated the test ten times for a total of 250 planned sessions. “Sham” sessions designed to mimic the experimental sessions without observers present were run immediately before and after as controls. Based on the planned analysis, no evidence for a psychophysical effect was found. Because this experiment differed in two essential ways from similar, previously reported double-slit experiments, two exploratory analyses were developed, one based on a simple spectral analysis of the interference pattern and the other based on fringe visibility. For the experimental data, the outcome supported a pattern of results predicted by a causal psychophysical effect, with the spectral metric resulting in a 3.4 sigma effect (p = 0.0003), and the fringe visibility metric resulting in 7 of 22 fringes tested above 2.3 sigma after adjustment for type I error inflation, with one of those fringes at 4.3 sigma above chance (p = 0.00001). The same analyses applied to the sham data showed uniformly null outcomes. Other analyses exploring the potential that these results were due to mundane artifacts, such as fluctuations in temperature or vibration, showed no evidence of such influences. Future studies using the same protocols and analytical methods will be required to determine if these exploratory results are idiosyncratic or reflect a genuine psychophysical influence.

Physics Essays•Mar 25, 2021•15 citations

Nailing Jelly: The Replication Problem Seems to Be Unsurmountable. Two Failed Replications of the Matrix Experiment

Harald Walach, Karolina A. Kirmse, Peter Sedlmeier +3 more

We have reported previously on positive effects found in the matrix experiment. This is a setup where a random event generator (REG) drives a display, which participants are instructed to “influence” at will, i.e., in a psychokinesis (PK) setup. The difference of this matrix experiment from standard micro-PK REG experiments was that the deviation from randomness was not measured, but a large array of 2025 correlations between the behavior of the participant and the behavior of the REG was tested. This previous experiment was significant, and we devised a consensus protocol, which was deposited before commencement, according to which we conducted two independent replications with the same experimental setup and equipment. In the first experiment 64 participants conducted the experiment in one location under the experimental guidance of KK, in the second experiment 40 participants conducted the experiment in another location under the experimental guidance of HV. The analysis used a non-parametric randomization test with 10,000 iterations. None of the two experiments was significant. While in the first experiment a very small, but non-significant effect was found, in the second experiment no effect whatsoever was detectable. Sensitivity analyses did not suggest that the effect was in fact there but overlooked by our analysis. We discuss the findings in the context of the larger debate around replicability of parapsychological (PSI) research results and our theoretical model. This starts from the assumptions that such PSI effects are likely effects of a generalized form of entanglement correlations, and a consequence of this model is that such effects must not be used for the transfer of signals. Classical experiments, however, are detectors or extractors of signals in or from systems. This seems to be prohibited. Thus, the replication problem and this failed replication is likely part of the systematic nature of these effects. This makes it unlikely that experimental research alone will be successful in the long run demonstrating PSI effects. Our conclusion is that the matrix experiment is not a replicable paradigm in PSI research.

Journal of Scientific Exploration•Jan 15, 2022•11 citations

Spooky actions cannot be tricked: Exploring the Nature of Micro-Psychokinesis with Higher-Level Analytical Strategies

Marissa-Julia Jakob, Moritz C. Dechamps, Markus Maier

Objective. Testing specific mind-related effects on reality formation by investigating deviations from quantum randomness during the process of intentional observation, also known as micro-psychokinesis (micro-PK), is one empirical approach to address the mind-matter problem. While meta-analytical evidence over decades of research suggests that observers’ conscious or unconscious motivational states could produce significant micro-PK effects on quantum number generator (QRNG) outcomes, direct replication attempts often failed or the initially strong and apparently stable effects declined over time. Therefore, in addition to a direct replication strategy, alternative confirmatory approaches have been proposed that apply Higher-Level Analytical Strategies (HLASs) to test these effects existence. The present study reports a preregistered replication attempt of a micro-PK effect on QRNG outcomes documented by a specific HLAS variant, the Change of Evidence (CoE) measures, which were performed on a post-hoc basis in an original study.Method. To assess the observers’ unconscious intentional states, in a re-analysis of an existing data set we determined participants’ personality traits (PTs) on Cluster C and analyzed the relation between Cluster C outcome and trait-related sentences selected via QRNG outputs mirroring the respective typical concerns associated with the PTs vs. neutral stimuli. We predicted the presentation of more PT-related stimuli than chance expectation among participants exhibiting high PT assessment scores (PT-high) but not among individuals who exhibited low levels of these characteristics (PT-low). Although in line with this prediction initially strong Bayesian evidence for H1 was found within the PT-high group, this effect unexpectedly declined upon further data collection to indecisive evidence. Three post-hoc CoE tests were then performed comparing the empirical data to a randomly generated set of 10,000 simulations to distinguish a false positive finding i.e., an unsystematic, random Bayesian evidence variation, from a true positive effect that later declined i.e., from a systematic one. These exploratory post-hoc re-analyses of an existing data set rejected the null hypotheses in all CoE tests performed. These findings were then tested for replicability in a preregistered replication study which will be reported here.Results. The replication attempt failed. No Bayesian evidence for micro-PK was found and none of the CoE analyses could reject the null hypothesis in the PT-high group. As expected, no effects were found in the PT-low group either.Conclusion. The findings of the herein presented analyses go along with the results of earlier studies reporting similar experimental approaches which initially revealed strong and supposedly robust evidence for the postulated effects in non-preregistered original experiments but failed in a direct replication. Most central, the present findings indicate, that even CoE measures following the idea of HLASs to circumvent the non-replicability problem cannot provide replicable higher order micro-PK effects. The results obtained are discussed with regard to the Model of Pragmatic Information (MPI).

•Jun 8, 2024•0 citations
A general commentary by Walleczek and von Stillfried (2020) was recently published in Frontiers in Psychology. The present work provides an account of (i) the detailed research record and (ii) the main arguments behind the commentary for the purpose of full transparency and disclosure. For historical overview, Walleczek and von Stillfried (2019) had previously reported (i) the absence of any true-positive effects and (ii) the presence of one false-positive effect in a commissioned replication study of the Radin double-slit (DS) experiment on observer consciousness. In their subsequent misrepresentations, Radin et al. (2019, 2020) regrettably used the malpractice of undisclosed HARKing, i.e., undisclosed hypothesizing after the results are known. HARKing can increase greatly the risk of false-negative or false-positive conclusions. Specifically, Radin et al. (2019, 2020) deviated in two major ways from the pre-specified protocol for this commissioned study, which (i) was agreed to by Radin before data collection was started (Radin, 2011) and (ii) included data encryption to prevent the use of p-hacking and HARKing. First, Radin et al. (2019) violate the original research design by reporting a so-called “true-positive outcome of a secondary planned hypothesis”. Contrary to the claim by Radin et al. (2019, 2020), that hypothesis was not, however, part of the planned test strategy, but, instead, the associated statistical analysis – a chi-square test – was chosen by Radin sometime after the planned statistical analysis had been completed and the data unblinded. Second, Radin et al. (2019, 2020) violate the funder-approved research design in an additional way by falsely claiming that the newly developed protocol, i.e., the advanced meta-experimental protocol (AMP), implements a non-predictive test strategy when – in fact – the AMP-based test strategy is strictly predictive. Put simply, Radin et al. (2019, 2020) are mistaken that the funder-approved hypotheses posited the random occurrence of effects for the test categories in this replication experiment; instead, a different specific prediction was tested in each of the eight planned test categories, and true-positive effects were predicted to occur for only two (12.5%) of the 16 possible measurement outcomes of the eight planned single-test categories. Therefore, in the predictive single-testing regime, a statistical correction for non-predictive, i.e., random, multiple testing would not be appropriate and would thus violate the AMP-based strategy, which was implemented in the commissioned study based upon the planned outcome predictions as pre-specified in Radin (2011). Neither of these post-hoc changes by Radin et al. (on the basis of HARKing) were disclosed in Radin et al. (2019, 2020) and both these changes violate the funder-approved, original methodology agreed upon in Radin (2011) and pre-specified in the research contract. In summary, the present work reconfirms that – exactly as reported in Walleczek and von Stillfried (2019) – “the false-positive effect, which would be indistinguishable from the predicted true-positive effect, was significant at p = 0.021 (σ = −2.02; N = 1,250 test trials)” and “no statistically significant effects could be identified” in those two groups for which true-positives were predicted to occur. These observations are consistent also with an independent statistical reanalysis of the Radin DS-experiment by Tremblay (2019) and a replication attempt by Guerrer (2019). Tremblay reported significant false-positives in control groups and Guerrer found significant effects with post-hoc analyses only, but null results only when using the planned confirmatory analysis. As a general recommendation, the authors call for the implementation of advanced control-test strategies, including novel approaches from the metascience reform movement, for empirically detecting and preventing uncontrolled false-positive effects in parapsychological research.
Prior work by Radin et al. (2012, 2016) reported the astonishing claim that an anomalous effect on double-slit (DS) light-interference intensity had been measured as a function of quantum-based observer consciousness. Given the radical implications, could there exist an alternative explanation, other than an anomalous consciousness effect, such as artefacts including systematic methodological error (SME)? To address this question, a conceptual replication study involving 10,000 test trials was commissioned to be performed blindly by the same investigator who had reported the original results. The commissioned study performed confirmatory and strictly predictive tests with the advanced meta-experimental protocol (AMP), including with systematic negative controls and the concept of the sham-experiment. Whereas the replication study was unable to confirm the original results, the AMP was able to identify an unacceptably low true-negative detection rate with the sham-experiment in the absence of test subjects. The false-positive detection rate reached 50%, whereby the false-positive effect, which would be indistinguishable from the predicted true-positive effect, was significant at p = 0.021 (σ = -2.02; N = 1,250 test trials). The false-positive effect size was about 0.01%, which is within an-order-of-magnitude of the claimed consciousness effect (0.001%; Radin et al., 2016). The false-positive effect, which indicates the presence of significant SME in the Radin DS-experiment, suggests that skepticism should replace optimism concerning the radical claim that an anomalous quantum consciousness effect has been observed in a controlled laboratory setting.
A two year long experimental dataset in which authors of Radin, et al., 2016 claim to find evidence of mind-matter interaction is independently re-analyzed. In this experiment, participants are asked to periodically shift their attention towards or away from a double-slit optical apparatus. Shifts in fringe visibility of the interference pattern are monitored and tested against the common sense null hypothesis that such shifts should not correlate with the participant's attention state. We propose a deeper analysis of the dataset, identifying all the necessary arbitrary pre-analysis choices one needs to make, and carefully assessing the results' robustness regarding these choices. Results are twofold. Firstly, even with a conservative correction for the multiple statistical tests the analysis calls for, we confirm the existence of significant although small anomalies in the direction predicted by the mind-matter interaction hypothesis. On the other hand, and unlike Radin, et al., 2016, we also report significant although even smaller anomalies in the control dataset. This leads us to conclude that this particular dataset does not provide strong evidence of mind-matter interaction, yet certainly contains inexplicable anomalies that should motivate replication attempts in highly controlled environments.
An experiment was conducted to explore possible psychophysical influences on interference patterns generated by an optical double-slit system. The experiment was motivated by a proposed explanation of the quantum measurement problem by John von Neumann and others, namely that consciousness collapses the quantum wavefunction. The study design generated a single database partitioned into eight differential tests, four in experimental conditions where participants alternately directed their attention toward and away from the optical system, and four in sham conditions when no one was present. The planned analysis was comparison of means in attention-toward vs. attention-away conditions; a secondary analysis added later, but before the data were examined, was comparison of variances. After adjusting the eight mean comparisons for multiple testing, none were statistically significant, but one of the eight variance differences was suggestively significant.To date, 11 of 28 conceptual replications of this experiment, reported by four independent teams, have reported statistically significant outcomes (p < 0.05, two-tail), where only one would be expected by chance. Given the implications of psychophysical effects on our understanding of the role of consciousness in the physical world, we encourage others to attempt to replicate this experiment.
An experiment we conducted from 2012 to 2013, which had not been previously reported, was designed to explore possible psychophysical effects resulting from the interaction of a human mind with a quantum system. Participants focused their attention toward or away from the slits in a double-slit optical system to see if the interference pattern would be affected. Data were collected from 25 people in individual half-hour sessions; each person repeated the test ten times for a total of 250 planned sessions. “Sham” sessions designed to mimic the experimental sessions without observers present were run immediately before and after as controls. Based on the planned analysis, no evidence for a psychophysical effect was found. Because this experiment differed in two essential ways from similar, previously reported double-slit experiments, two exploratory analyses were developed, one based on a simple spectral analysis of the interference pattern and the other based on fringe visibility. For the experimental data, the outcome supported a pattern of results predicted by a causal psychophysical effect, with the spectral metric resulting in a 3.4 sigma effect (p = 0.0003), and the fringe visibility metric resulting in 7 of 22 fringes tested above 2.3 sigma after adjustment for type I error inflation, with one of those fringes at 4.3 sigma above chance (p = 0.00001). The same analyses applied to the sham data showed uniformly null outcomes. Other analyses exploring the potential that these results were due to mundane artifacts, such as fluctuations in temperature or vibration, showed no evidence of such influences. Future studies using the same protocols and analytical methods will be required to determine if these exploratory results are idiosyncratic or reflect a genuine psychophysical influence.
We have reported previously on positive effects found in the matrix experiment. This is a setup where a random event generator (REG) drives a display, which participants are instructed to “influence” at will, i.e., in a psychokinesis (PK) setup. The difference of this matrix experiment from standard micro-PK REG experiments was that the deviation from randomness was not measured, but a large array of 2025 correlations between the behavior of the participant and the behavior of the REG was tested. This previous experiment was significant, and we devised a consensus protocol, which was deposited before commencement, according to which we conducted two independent replications with the same experimental setup and equipment. In the first experiment 64 participants conducted the experiment in one location under the experimental guidance of KK, in the second experiment 40 participants conducted the experiment in another location under the experimental guidance of HV. The analysis used a non-parametric randomization test with 10,000 iterations. None of the two experiments was significant. While in the first experiment a very small, but non-significant effect was found, in the second experiment no effect whatsoever was detectable. Sensitivity analyses did not suggest that the effect was in fact there but overlooked by our analysis. We discuss the findings in the context of the larger debate around replicability of parapsychological (PSI) research results and our theoretical model. This starts from the assumptions that such PSI effects are likely effects of a generalized form of entanglement correlations, and a consequence of this model is that such effects must not be used for the transfer of signals. Classical experiments, however, are detectors or extractors of signals in or from systems. This seems to be prohibited. Thus, the replication problem and this failed replication is likely part of the systematic nature of these effects. This makes it unlikely that experimental research alone will be successful in the long run demonstrating PSI effects. Our conclusion is that the matrix experiment is not a replicable paradigm in PSI research.
Objective. Testing specific mind-related effects on reality formation by investigating deviations from quantum randomness during the process of intentional observation, also known as micro-psychokinesis (micro-PK), is one empirical approach to address the mind-matter problem. While meta-analytical evidence over decades of research suggests that observers’ conscious or unconscious motivational states could produce significant micro-PK effects on quantum number generator (QRNG) outcomes, direct replication attempts often failed or the initially strong and apparently stable effects declined over time. Therefore, in addition to a direct replication strategy, alternative confirmatory approaches have been proposed that apply Higher-Level Analytical Strategies (HLASs) to test these effects existence. The present study reports a preregistered replication attempt of a micro-PK effect on QRNG outcomes documented by a specific HLAS variant, the Change of Evidence (CoE) measures, which were performed on a post-hoc basis in an original study.Method. To assess the observers’ unconscious intentional states, in a re-analysis of an existing data set we determined participants’ personality traits (PTs) on Cluster C and analyzed the relation between Cluster C outcome and trait-related sentences selected via QRNG outputs mirroring the respective typical concerns associated with the PTs vs. neutral stimuli. We predicted the presentation of more PT-related stimuli than chance expectation among participants exhibiting high PT assessment scores (PT-high) but not among individuals who exhibited low levels of these characteristics (PT-low). Although in line with this prediction initially strong Bayesian evidence for H1 was found within the PT-high group, this effect unexpectedly declined upon further data collection to indecisive evidence. Three post-hoc CoE tests were then performed comparing the empirical data to a randomly generated set of 10,000 simulations to distinguish a false positive finding i.e., an unsystematic, random Bayesian evidence variation, from a true positive effect that later declined i.e., from a systematic one. These exploratory post-hoc re-analyses of an existing data set rejected the null hypotheses in all CoE tests performed. These findings were then tested for replicability in a preregistered replication study which will be reported here.Results. The replication attempt failed. No Bayesian evidence for micro-PK was found and none of the CoE analyses could reject the null hypothesis in the PT-high group. As expected, no effects were found in the PT-low group either.Conclusion. The findings of the herein presented analyses go along with the results of earlier studies reporting similar experimental approaches which initially revealed strong and supposedly robust evidence for the postulated effects in non-preregistered original experiments but failed in a direct replication. Most central, the present findings indicate, that even CoE measures following the idea of HLASs to circumvent the non-replicability problem cannot provide replicable higher order micro-PK effects. The results obtained are discussed with regard to the Model of Pragmatic Information (MPI).