Dear managing board of PCI Registered Reports,

Thank you for the editorial letter regarding our manuscript, “Test-Retest Reliability of the STRAQ-1: A Registered Report”.

In this letter, we provide point-by-point responses to the issues identified by you and the two reviewers. To review the changes we made in the manuscript, we provide a manuscript with track changes on it and another one without for readability. We appreciate the feedback provided by you and the reviewers and believe that it greatly improved the quality of our manuscript. We hope that the new version of the manuscript will now meet the high standards for Stage II acceptance at PCI Registered Reports.

Dr. Moin Syed informed us that, in case of Stage II acceptance, our manuscript is eligible for publication in the journal Advances in Methods and Practices in Psychological Science (AMPPS). We verified the word count limit in AMPPS which is 5000 words. We have currently 5798 words in our manuscript. If this word limit poses a problem for publication, we propose to remove the exploratory analysis section (919 words) from the manuscript but still report it as supplementary material on the OSF page of our project.

Sincerely, on behalf of all co-authors,

Olivier Dujols

PCI RR Recommender: Dr. Moin Syed

Point 1: Both reviewers felt that the conclusions drawn in the paper and abstract paint too rosy a picture of the psychometric properties of the instrument given the results (especially the measurement invariance findings). It is critical that the conclusions made are properly calibrated. 

Authors’ Response: We changed the conclusion in the abstract. We replaced “We discuss our findings in regard to the relatively long time between the repeated measures.” by “Our study suggests that test-retest reliability was insufficient for psychological diagnosis, and that future studies should address the problem of low generalizability.” (lines 60-62 in the version without track changes).

We also changed the conclusion in the conclusion section of the main text. We replaced “Our results suggest a relative stability over time of the STRAQ-1 subscales and tend to support previous conceptualisation of the STRAQ-1 as a trait measure of individual differences in physical safety.” by “Our study suggests that test-retest reliability was insufficient for psychological diagnosis, and that future studies should address the problem of low generalizability.” (lines 490-491 in the version without track changes).

We additionally made some minor changes throughout the paper to better calibrate the interpretations, which are noted in our other responses.

Point 2: Many of the results are attributed to low statistical power, a point on which I am confused. The power analysis included in your Stage 1 paper, which continues to appear in this Stage 2 manuscript, indicates sufficient power for both the invariance tests and ICC analyses. Accordingly, I was unclear how you concluded that you had insufficient power. Some of the language in the paper indicates that you may be relying on observed/post-hoc power, but as has been highlighted in the literature this should not be done as those values are data-dependent. Thus, the issue of power needs to be substantially clarified and modified throughout the paper. 

Authors’ Response: We kept only the power analysis that was originally included in your Stage 1 paper: indicating a-priori sufficient power for both the invariance and ICC analyses. We understand your point about the issues with post-hoc power and removed all the post-hoc power analyses in the manuscript and the R scripts. We hope the power analysis is now clearer. 

We accordingly changed our conclusion and discussion related to these post-hoc power analyses, and concluded in regard to the a-priori power analyses. We removed “Due to power issue” from our conclusion section (line 486 in the version without track changes).

Point 3: The results of the measurement invariance tests are presented much too quickly and without sufficient detail, relegating most of the crucial information to the table. The fact that one of the subscales did not even show configural invariance and another did not show metric invariance is not clearly stated or fully considered in the interpretations (see point 1 above). Moreover, the text indicates that you would report other fit indices in addition to CFI, which I think is a good idea, but then the table only includes them for the configural model. Including them for all models would be helpful. 

Authors’ Response: We added more information in the text about our measurement invariance analysis. We added in the text the level of invariance reached by each scale.We rewrote the result paragraph about measurement invariance: “Out of the four STRAQ-1 subscales, two reached longitudinal scalar invariance across two-time points. Table 2 provides a complete description of the fits of all the models. Based on the results of the longitudinal CFA models, we considered longitudinally invariant the subscales that reached scalar invariance. The Social Thermoregulation (Configural-Metric ΔCFI: +.014; Metric-Scalar ΔCFI < .001) and High-Temperature Sensitivity (Configural-Metric ΔCFI: +.012; Metric-Scalar ΔCFI < .001) subscales met our criteria to reach scalar invariance, and thus are considered longitudinally invariant across two-time points. On the contrary, the Risk Avoidance and Solitary Thermoregulation subscales were considered longitudinally non-invariant across two-time points. The Risk Avoidance subscale failed to reach metric invariance (Configural-Metric ΔCFI = - .027). The configural model of the Solitary Thermoregulation subscale had insufficient fit to the data (χ2 = 158.05, CFI = .899, RMSEA = .061, 90% CI RMSEA = [.043, .077], SRMR = .072). Based on these analyses, the Social Thermoregulation and High-Temperature Sensitivity constructs are thus respectively similar across two-time points and their latent scores can be meaningfully compared in our dataset. The Risk Avoidance and Solitary Thermoregulation constructs are thus respectively dissimilar across two-time points and their latent scores comparison may not be meaningful in our dataset.” (lines 297-312 in the version without track changes).

We additionally considered these results and added more interpretation in the discussion and conclusion (see your point 1). We rewrote a paragraph in our discussion: “We concluded that two of the STRAQ-1 (Social Thermoregulation and  High-Temperature Sensitivity) out of the four subscales were longitudinally invariant across two-time points in our sample. The current data, suggest that test-retest reliability was insufficient for psychological diagnosis, and that future studies should address the problem of low measurement invariance (see COTAN standards, Evers et al., 2015). The development of new scales including more culturally suitable items may resolve the low generalizability pointed out by our analyses. The Social Thermoregulation, Risk Avoidance and Eating Questionnaire – 2 (STRAEQ-2, Dujols et al., 2024) includes new scales developed at 53 sites in 32 countries. The STRAEQ-2 is currently in validation and could potentially resolve the measurement invariance issues pointed out by the current study. Future studies should test for longitudinal measurement invariance of the STRAEQ-2.” (lines 428-438 in the version without track changes).

Thank you for pointing out the discrepancy between our text and the table. We corrected the mistake and we now report all the fit indices in the table for all the models.

Point 4: Although you seem to do a nice job indicating what analyses were and were not preregistered (thank you!), I always ask authors to include the statement, “All reported analyses were preregistered unless specified otherwise,” and then make sure that is true throughout the paper. 

Authors’ Response: We added the sentence “All reported analyses were preregistered unless specified otherwise”. At the end of the first paragraph of the result section (line 238). We verified that it is true for all reported analyses in the paper. 

Point 5: I am a big fan of footnotes, but this paper has too many, with some key details in footnotes that should be in the paper. I encourage you to go through and integrate as many of them as possible into the text. Also, footnote 21, “Our discussion will include a detailed Constraints On Generality (Simons et al., 2017)” is a leftover from the Stage 1 and should be removed. 

Authors’ Response: We integrated most of the footnotes in the text, we went from 21 footnotes to now 3 footnotes. We removed footnote 21, thank you for noticing the mistake. 

Point 6: This is admittedly stylistic, but the information about the Stage 1 acceptance that is at the beginning of the Discussion section is typically located in the Method.

Authors’ Response: We moved the information about the Stage 1 acceptance to the beginning of the Method section (line 161 in the version without track changes).

Reviewer 1: Dr. Jacek Buczny 

Point 7: My major concern is the main conclusion and the fact that it does not seem supported by the data. The major conclusion: "Our results suggest a relative stability over time of the STRAQ-1 subscales and tend to support previous conceptualisation of the STRAQ-1 as a trait measure of individual differences in physical safety." and the data-driven statements: (1) "Due to power issues, we concluded that none of the STRAQ-1 subscales were longitudinally invariant across two-time points", and (2) "we found that test-retest reliability was overall moderate to good" (lines 427-433).

Given low power, low generalizability, the lack of good longitudinal measurement invariance, and good test-retest at best reliability, if I were you, I (1) would not conclude anything specific about (1) the instrument (by the way, reliability is a characteristic of measurement, not an instrument), and (2) would rather conclude that the data suggested that the test-retest was insufficient for psychological diagnosis (cf. COTAN standards, https://psynip.nl/wp-content/uploads/2022/05/COTAN-review-system-for-evaluating-test-quality.pdf), but (3) I would conclude that the findings are promising and new data must be collected to deal with the problem of low power and low generalizability in the first place.

Authors’ Response: Thank you for your review and for sharing this reference with us. Accordingly to your comment, we did not conclude anything specific about the instrument but instead talked about the measurement made in our study. We removed the sentence “Overall, our results are coherent with the previous findings in the literature.” in the first paragraph of the Discussion (line 580). We removed the sentence conclusion “Our results suggest a relative stability over time of the STRAQ-1 subscales and tend to support previous conceptualisation of the STRAQ-1 as a trait measure of individual differences in physical safety.” We concluded that “These findings are promising but our data suggest that test-retest reliability was insufficient for psychological diagnosis, and that future studies should address the problem of low generalizability of the constructs.” (lines 60-62 and 490-491 in the version without track changes).

Reviewer 2: Dr. Maanasa Raghavan

Point 8: This submission by Dujols and colleagues meets most of the Stage 2 criteria adequetely. One concern is the underpowered nature of the data. I commend the authors for presenting this result transparently in the Results and Discussion sections, but would suggest the authors consider paring back the overall conclusion of the study to reflect this limitation better.

Authors’ Response: According to Moin Syed comment, we removed the post-hoc power analyses and kept the a-priori one that was on the Stage 1 manuscript. We adapted the overall conclusion accordingly (see points 1 to 3 and 7).

Point 9: N for participants with two data points switches between 183 and 184 throughout the text. Please check this and standardize, as needed. 

Authors’ Response: Thank you for pointing out the mistake. We corrected and inserted the correct number of participants throughout.

Point 10: Page 7, line 152: Should 2021-2020 perhaps be 2021-2022?

Authors’ Response: Thank you again, we corrected the mistake, now saying “2021-2022”. (line 169 now in the version without track changes).