Validating the Diagnosis of Delirium and Evaluating Its Association With Deterioration Over a One-Year Period
Abstract
Methods
Procedures
Sample
Measures
Analyses
Results
Change and variability during the course of the study outside the hospital
Comparison of changes during the course of the study between data for hospitalized and non-hospitalized subjects
Discussion
Antecedents and symptoms of delirium
Changes over the period of one year
We first present the model for assessing changes across hospitalized and non-hospitalized time in one of the response variables (cognitive, EEG, clinical, and functional measures), and then incorporate delirium status into the model. Alterations to the model to assess differences between hospitalized and non-hospitalized patients with respect to changes across time spent outside the hospital are addressed, as is investigation of the effect of baseline cognitive impairment on changes across time. |
First, denoting fixed-effects scalar parameters with “B,” random-effects scalar parameters with “b,” and independent scalar variables with capital variables, the mixed model for assessing the effect of hospitalization on change across time may be written as: |
Yij = (B0 + b0i) + (B1 + b1i)Tij + (B2 + b2i)Hij + (B3 + b3i)Tij Hij + B4 BYi + eij, where |
Yij = The response variable at the j th time point for the i th subject |
B0 Fixed-effects intercept for non-hospitalized observations of each subject at the zero time point |
b0i Random-effects intercept for the non-hospitalized observations of the i th subject |
B1 Fixed-effects slope parameter for non-hospitalized observations of each subject |
b1i Random-effects slope parameter for the non-hospitalized observations of the i th subject |
Tij j th time point for the i th subject, where Ti1 = 0 corresponds to the time of enrollment into the study. |
Hij Hospitalization status at the j th time point of the i th subject (1 = hospitalized, 0 = non-hospitalized) |
B2 Difference in fixed-effects intercept between non-hospitalized and hospitalized observations for the i th subject, if hospitalized |
b2i Difference in random-effects intercept between non-hospitalized and hospitalized observations for the i th subject, if hospitalized |
B3 Difference in fixed-effects slope parameter between non-hospitalized and hospitalized observations for the i th subject, if hospitalized |
b3i Difference in random-effects slope parameter between non-hospitalized and hospitalized observations for the i th subject, if hospitalized |
B4 Fixed-effects slope parameter for the baseline response for each subject |
BYi Baseline response for the i th subject |
eij Measurement or statistical error for the j th time-point observation of the i th subject |
This model gives two sets of estimates of change over time, fixed and random effects. Each of the fixed effects represents an average for the entire sample, whereas the random effects represent individual deviations from the sample average. More specifically, the fixed effects intercept B0 represents the baseline mean response level for subjects who were not hospitalized at baseline. The fixed-effects slope B1 represents the mean slope for subjects in the non-hospitalized period. The fixed-effects parameter B2 represents the mean difference between hospitalized and non-hospitalized observations. The fixed-effect parameter B3 represents the difference in mean slopes between hospitalized and non-hospitalized observations. The random effects are assumed to have a normal distribution and allow the model to account for the correlation or lack of independence between observations from the same individual. The model includes a parameter that represents the effects of the baseline outcome (BYij), so all of the above effects are adjusted for baseline outcome. Another set of mixed-model analyses were conducted to probe for differences in regression slopes and intercepts between patients who were clinically diagnosed with delirium and the remainder of the data obtained on the study sample. For these analyses, the above model used for the hospitalized vs. non-hospitalized comparisons was augmented with the following terms: |
B5 Di + (B6 + b6i)TijDi where Di = delirium status of the i th subject (1 = delirium, 0 = non-delirium) |
B5 + Fixed-effects difference in intercept between non-delirium and delirium patients at time zero |
B6 + Difference in fixed-effects slope for time between non-delirium and delirium patients |
b6i + Difference in random-effects slope between non-delirium and delirium patients. |
The fixed-effects intercept B0 and slope B1 are now interpreted as before, but for the non-delirium patients. The parameters B2 and B3 are interpreted as before in terms of differences in means and slopes between hospitalized and non-hospitalized status, but adjusting for delirium status. The new parameter B5 represents the difference in mean responses levels between non-delirium and delirium subjects at the start of the study adjusted for hospital status. The parameter B6 represents the difference in mean slope for time between non-delirium and delirium subjects, also adjusting for hospital status. Sub-group analyses of slopes and intercepts for combinations of delirium and hospitalization status were performed by including interaction terms between hospitalization, delirium, and time. In addition, comparisons between cognitively intact and non-intact patients were performed by replacing the delirium indicator (Di) in the above model with cognitively-intact indicator for the i th subject. Similarly, comparisons between non-hospitalized subjects with the post-hospitalization observations of formerly hospitalized subjects were performed by replacing the time-varying indicator of hospitalization status (Hij) with a baseline indicator of hospitalization status that remains constant across time for each subject. |
We were also interested in looking at intra-individual variability in study measures obtained outside of the hospital. This was calculated by the following: |
where= sum across all time points indexed by j and observed for a given subject |
v = variability of performance for the i th subject |
peij expected score calculated from the random effects model at the j th time point for the i th subject |
poij observed score at the j th time point for the i th subject |
ni number of data points for the i th subject |
This score estimates the variability of all obtained scores for each subject on a measure around the random-effect slope for that measure. |
When comparing groups of subjects in terms of averages of this variability measure, these variability scores were weighted on the basis of the number of data-points obtained in order to account for the difference in variance of the variability scores. |
Total Sample | Subgroups | ||||
---|---|---|---|---|---|
Mean | Difference (H vs. NH) | t-score (H vs. NH) | Difference (D vs. ND) | t-score (D vs. ND) | |
Age, years | 84.7 | 1.7 | 1.31 | 0.7 | 0.30 |
Education, years | 10.9 | −0.7 | −0.84 | −0.4 | −0.31 |
CIRS | 2.6 | 0.9 | 2.3 | 0.1 | 0.17 |
PSMS | 10.7 | 0.8 | 1.25 | 1.8 | 1.70 |
MMSE | 24.1 | −0.9 | −1.02 | −1.8 | −1.23 |
Stroop, | |||||
% correct | 79.1 | −2.1 | −0.54 | −16.9 | −3.17 |
Interference | 3.5 | 0.1 | 0.21 | 0.2 | 0.23 |
Verbal memory | 25.8 | −2.3 | −1.63 | −3.4 | −1.62 |
Verbal vigilance | 8.9 | 0.1 | 0.38 | −0.02 | −0.43 |
EEG | |||||
Delta | 0.06 | 0.007 | 0.05 | 0.01 | 0.12 |
Theta | 0.19 | 0.015 | 0.35 | 0.02 | 0.35 |
Alpha | 0.46 | 0.020 | 0.32 | 0.05 | 0.32 |
Note: H vs. NH=non-hospital data for patients who were hospitalized vs. others; D vs. ND=non-hospital data for patients who were diagnosed with delirium vs. other hospitalized patients.
Entries with P<0.05 are in bold.
Total Sample | Hospitalized Patients | Delirium Patients | ||||||
---|---|---|---|---|---|---|---|---|
Mean | 95% CI | Mean | 95% CI | Mean | 95% CI | t(H vs. NH) | t(D vs. ND) | |
PSMS | 1.322 | (0.577, 2.068) | 2.007 | (0.974, 3.039) | 3.350 | (0.951, 5.750) | −1.81 | −1.27 |
MMSE | 0.058 | (−0.481, 0.596) | 0.072 | (−0.707, 0.850) | −2.396 | (−4.553, −0.239) | −0.06 | 2.49 |
Stroop | ||||||||
% correct | 3.440 | (0.300, 6.580) | 3.170 | (−1.400, 7.700) | 4.850 | (−7.800, 17.500) | 0.17 | −0.38 |
Interference | −0.486 | (−1.081, 0.109) | −0.496 | (−1.349, 0.347) | 0.047 | (−2.105, 2.199) | 0.00 | −0.48 |
Verbal memory | −0.385 | (−1.058, 1.828) | −0.393 | (−2.385, 1.599) | −0.447 | (−4.642, 3.747) | 1.10 | 0.06 |
Verbal vigilance | 0.115 | (−0.0537, 0.306) | −0.281 | (−0.850, 0.288) | −0.277 | (−1.643, 1.088) | 0.85 | 0.00 |
EEG | ||||||||
Delta | 0.018 | (0.006, 0.029) | 0.022 | (0.006, 0.038) | 0.045 | (0.012, 0.078) | −0.76 | −1.54 |
Theta | 0.033 | (0.010, 0.055) | 0.041 | (0.010, 0.072) | 0.092 | (0.020, 0.165) | −0.72 | −1.55 |
Alpha | −0.042 | (−0.070, −0.014) | −0.051 | (−0.090, −0.012) | −0.099 | (−0.189, −0.008) | 0.69 | 1.18 |
Note: H vs. NH=non-hospital data for patients who were hospitalized vs. others; D vs. ND=non-hospital data for patients who were diagnosed with delirium vs. other hospitalized patients; PSMS=Physical Self-Maintainance Scale; MMSE=Mini-Mental State Exam.
Cells with P<0.05 are in bold.
(H vs. NH) | (D vs. ND) | |
---|---|---|
PSMS | −2.54 | −3.38 |
MMSE | −0.74 | −0.79 |
Stroop | ||
% correct | −1.41 | −0.44 |
Interference | −0.82 | −0.23 |
Verbal memory | 1.28 | 0.52 |
Verbal vigilance | −0.59 | −1.62 |
EEG | ||
Delta | −1.47 | −1.96 |
Theta | −2.26 | −1.76 |
Alpha | −3.44 | −0.38 |
Note: H vs. NH=non-hospital data for patients who were hospitalized vs. others; D vs. ND=non-hospital data for patients who were diagnosed with delirium vs. other hospitalized patients; PSMS=Physical Self-Maintainance Scale; MMSE=Mini-Mental State Exam.
Cells with P<0.05 are in bold.
Between Hospital and Non-Hospital Data | Between Delirium and Non-Delirium Data | Between Hospital and Non-Hospital Data (controlling for delirium) | |||||||
---|---|---|---|---|---|---|---|---|---|
Variable | Difference | CI | P | Difference | CI | P | Difference | CI | P |
MMSE | −0.507 | (−1.412, 0.398) | 0.265 | −0.202 | (−2.086, 1.682) | 0.816 | −0.250 | (−1.315, 0.815) | 0.639 |
Stroop | |||||||||
% correct | −1.297 | (−5.741, 3.147) | 0.556 | −2.994 | (−14.663, 8.675) | 0.553 | −1.547 | (−6.459, 3.365) | 0.524 |
Interference | 0.007 | (−0.719, 0.734) | 0.984 | 0.673 | (−1.311, 2.657) | 0.423 | 0.004 | (−0.795, 0.804) | 0.991 |
Buschke SRT | −3.419 | (−5.546, −1.291) | 0.002 | −3.611 | (−8.232, 1.011) | 0.109 | −3.174 | (−5.559, −0.790) | 0.011 |
Verbal vigilance | −1.419 | (−2.186, −0.651) | 0.001 | −1.546 | (−3.114, 0.022) | 0.053 | −1.115 | (−1.968, −0.262) | 0.012 |
Delta activity | |||||||||
right hemisphere | 0.034 | (0.015, 0.052) | 0.001 | 0.055 | (0.022, 0.088) | 0.005 | 0.019 | (−0.002, 0.040) | 0.079 |
Theta activity | |||||||||
right hemisphere | 0.055 | (0.022, 0.088) | 0.002 | 0.116 | (0.062, 0.170) | 0.001 | 0.031 | (−0.005, 0.067) | 0.091 |
Alpha activity | |||||||||
right hemisphere | −0.058 | (−0.095, −0.020) | 0.004 | −0.097 | (−0.160, −0.034) | 0.007 | −0.030 | (−0.072, 0.012) | 0.156 |
Note: CI=95% confidence interval; MMSE=Mini-Mental State Exam; SRT=Selective Reminding Test.
Cells with P<0.05 are in bold.
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